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Ecuaciones diferenciales/ y'''-y''-25y'-25y=0

Ecuación diferencial y'''-y''-25y'-25y=0

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Para el problema de Cauchy:

y() =
y'() =
y''() =
y'''() =
y''''() =

Gráfico:

interior superior
⌨

Solución

Ha introducido [src] 
    2                                   3          
   d             d                     d           
- ---(y(x)) - 25*--(y(x)) - 25*y(x) + ---(y(x)) = 0
    2            dx                     3          
  dx                                  dx
$$- 25 y{\left(x \right)} - 25 \frac{d}{d x} y{\left(x \right)} - \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = 0$$ 
-25*y - 25*y' - y'' + y''' = 0
Respuesta [src] 
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                                                           |                                                                                                                                    |    |15*\/ 1047 ||                                                                                                                     |    |15*\/ 1047 ||                                                  |    |                        /                                                                                                                   /    /     ______\\                                                                                                                   /    /     ______\\                                                                                                                     /    /     ______\\                                                                                                                      /    /     ______\\                                                                                                                                                                     /    /     ______\\    /    /     ______\\                                                                                             /    /     ______\\    /    /     ______\\                                       |                                                                                                                                                                                                                                                                                                                                                                |                                                                                                                                    |    |15*\/ 1047 ||                                                                                                                     |    |15*\/ 1047 ||                                                  |         |                                                                                                                                    |    |15*\/ 1047 ||                                                                                                                     |    |15*\/ 1047 ||                                                  |    |                        /                                                                                                                   /    /     ______\\                                                                                                                   /    /     ______\\                                                                                                                     /    /     ______\\                                                                                                                      /    /     ______\\                                                                                                                                                                   /    /     ______\\    /    /     ______\\                                                                                              /    /     ______\\    /    /     ______\\                                        |                                                                                                                                                                                                                                                                                                                                                                |                                                                                                                                    |    |15*\/ 1047 ||                                                                                                                     |    |15*\/ 1047 ||                                                  |
                                                           |              /    /     ______\\             /    /     ______\\                                                                   |atan|-----------||                                                                                                                     |atan|-----------||                                                  |    |                       /                                                                                                                    |    |15*\/ 1047 ||                                                                                                                   |    |15*\/ 1047 ||                                                                                                                     |    |15*\/ 1047 ||                                                                                                                      |    |15*\/ 1047 ||                                                                                                                                                                     |    |15*\/ 1047 ||    |    |15*\/ 1047 ||                                                                                             |    |15*\/ 1047 ||    |    |15*\/ 1047 ||                                       |         /  /                                                                                                                                /    /     ______\\                                                                                                                     /    /     ______\\                                                  \\    |              /    /     ______\\             /    /     ______\\                                                                   |atan|-----------||                                                                                                                     |atan|-----------||                                                  |         |              /    /     ______\\             /    /     ______\\                                                                   |atan|-----------||                                                                                                                     |atan|-----------||                                                  |    |                       /                                                                                                                    |    |15*\/ 1047 ||                                                                                                                   |    |15*\/ 1047 ||                                                                                                                     |    |15*\/ 1047 ||                                                                                                                      |    |15*\/ 1047 ||                                                                                                                                                                   |    |15*\/ 1047 ||    |    |15*\/ 1047 ||                                                                                              |    |15*\/ 1047 ||    |    |15*\/ 1047 ||                                        |         /  /                                                                                                                                /    /     ______\\                                                                                                                     /    /     ______\\                                                  \\    |              /    /     ______\\             /    /     ______\\                                                                   |atan|-----------||                                                                                                                     |atan|-----------||                                                  |
                                                           |              |    |15*\/ 1047 ||             |    |15*\/ 1047 ||                                                           ____    |    \    451    /|                                                                                                             ____    |    \    451    /|                                                  |    |                      /       /    /     ______\\         /    /     ______\\                                                               |atan|-----------||                                                                                                                   |atan|-----------||                                                                                                                     |atan|-----------||                                                                                                                      |atan|-----------||                                                                   /    /     ______\\    /    /     ______\\                                                        |atan|-----------||    |atan|-----------||                                                                                             |atan|-----------||    |atan|-----------||                                       |         |  |                                                                                                                                |    |15*\/ 1047 ||                                                                                                                     |    |15*\/ 1047 ||                                                  ||    |              |    |15*\/ 1047 ||             |    |15*\/ 1047 ||                                                           ____    |    \    451    /|                                                                                                             ____    |    \    451    /|                                                  |         |              |    |15*\/ 1047 ||             |    |15*\/ 1047 ||                                                           ____    |    \    451    /|                                                                                                             ____    |    \    451    /|                                                  |    |                      /       /    /     ______\\         /    /     ______\\                                                               |atan|-----------||                                                                                                                   |atan|-----------||                                                                                                                     |atan|-----------||                                                                                                                      |atan|-----------||                                                                   /    /     ______\\    /    /     ______\\                                                      |atan|-----------||    |atan|-----------||                                                                                              |atan|-----------||    |atan|-----------||                                        |         |  |                                                                                                                                |    |15*\/ 1047 ||                                                                                                                     |    |15*\/ 1047 ||                                                  ||    |              |    |15*\/ 1047 ||             |    |15*\/ 1047 ||                                                           ____    |    \    451    /|                                                                                                             ____    |    \    451    /|                                                  |
                                                           |              |atan|-----------||             |atan|-----------||                                                      76*\/ 19 *cos|-----------------|                                                                                                        76*\/ 57 *sin|-----------------|                                                  |    |                     /        |    |15*\/ 1047 ||         |    |15*\/ 1047 ||                                                              2|    \    451    /|                                                                                                                  2|    \    451    /|                                                                                                                    2|    \    451    /|                                                                                                                     2|    \    451    /|                                                                   |    |15*\/ 1047 ||    |    |15*\/ 1047 ||                                                 ___    |    \    451    /|    |    \    451    /|                                                                                      ___    |    \    451    /|    |    \    451    /|                                       |         |  |          /    /     ______\\             /    /     ______\\                                                                   |atan|-----------||                                                                                                                     |atan|-----------||                                                  ||    |              |atan|-----------||             |atan|-----------||                                                      76*\/ 19 *cos|-----------------|                                                                                                        76*\/ 57 *sin|-----------------|                                                  |         |              |atan|-----------||             |atan|-----------||                                                      76*\/ 19 *cos|-----------------|                                                                                                        76*\/ 57 *sin|-----------------|                                                  |    |                     /        |    |15*\/ 1047 ||         |    |15*\/ 1047 ||                                                              2|    \    451    /|                                                                                                                  2|    \    451    /|                                                                                                                    2|    \    451    /|                                                                                                                     2|    \    451    /|                                                                   |    |15*\/ 1047 ||    |    |15*\/ 1047 ||                                               ___    |    \    451    /|    |    \    451    /|                                                                                       ___    |    \    451    /|    |    \    451    /|                                        |         |  |          /    /     ______\\             /    /     ______\\                                                                   |atan|-----------||                                                                                                                     |atan|-----------||                                                  ||    |              |atan|-----------||             |atan|-----------||                                                      76*\/ 19 *cos|-----------------|                                                                                                        76*\/ 57 *sin|-----------------|                                                  |
                                                           |      ____    |    \    451    /|     ____    |    \    451    /|                                                                   \        3        /                                                                                                                     \        3        /                                                  |    |                    /         |atan|-----------||         |atan|-----------||                                                       456*cos |-----------------|                                                                                                           152*sin |-----------------|                                                                                                            5776*sin |-----------------|                                                                                                            17328*cos |-----------------|                                                                   |atan|-----------||    |atan|-----------||                                         11552*\/ 3 *cos|-----------------|*sin|-----------------|                                                                                304*\/ 3 *cos|-----------------|*sin|-----------------|                                       |         |  |          |    |15*\/ 1047 ||             |    |15*\/ 1047 ||                                                           ____    |    \    451    /|                                                                                                             ____    |    \    451    /|                                                  ||    |      ____    |    \    451    /|     ____    |    \    451    /|                                                                   \        3        /                                                                                                                     \        3        /                                                  |         |      ____    |    \    451    /|     ____    |    \    451    /|                                                                   \        3        /                                                                                                                     \        3        /                                                  |    |                    /         |atan|-----------||         |atan|-----------||                                                       456*cos |-----------------|                                                                                                           152*sin |-----------------|                                                                                                            5776*sin |-----------------|                                                                                                            17328*cos |-----------------|                                                                   |atan|-----------||    |atan|-----------||                                         304*\/ 3 *cos|-----------------|*sin|-----------------|                                                                               11552*\/ 3 *cos|-----------------|*sin|-----------------|                                        |         |  |          |    |15*\/ 1047 ||             |    |15*\/ 1047 ||                                                           ____    |    \    451    /|                                                                                                             ____    |    \    451    /|                                                  ||    |      ____    |    \    451    /|     ____    |    \    451    /|                                                                   \        3        /                                                                                                                     \        3        /                                                  |
                                                         x*|1 - \/ 19 *cos|-----------------| - \/ 57 *sin|-----------------| - ------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------|    |    ____           /         2|    \    451    /|        2|    \    451    /|                                                               \        3        /                                                                                                                   \        3        /                                                                                                                     \        3        /                                                                                                                      \        3        /                                                            ___    |    \    451    /|    |    \    451    /|                                                        \        3        /    \        3        /                                                                                             \        3        /    \        3        /                                       |         |  |          |atan|-----------||             |atan|-----------||                                                      76*\/ 57 *cos|-----------------|                                                                                                        76*\/ 19 *sin|-----------------|                                                  ||  x*|1 - \/ 19 *cos|-----------------| - \/ 57 *sin|-----------------| - ------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------|       x*|1 + \/ 57 *sin|-----------------| - \/ 19 *cos|-----------------| - ------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------|    |    ____           /         2|    \    451    /|        2|    \    451    /|                                                               \        3        /                                                                                                                   \        3        /                                                                                                                     \        3        /                                                                                                                      \        3        /                                                            ___    |    \    451    /|    |    \    451    /|                                                      \        3        /    \        3        /                                                                                              \        3        /    \        3        /                                        |         |  |          |atan|-----------||             |atan|-----------||                                                      76*\/ 19 *sin|-----------------|                                                                                                        76*\/ 57 *cos|-----------------|                                                  ||  x*|1 + \/ 57 *sin|-----------------| - \/ 19 *cos|-----------------| - ------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------|
                                                           |              \        3        /             \        3        /                                                                  2                                                                    2                                                                  2                                                                    2|    |x*\/ 19 *         /       sin |-----------------| + 3*cos |-----------------| - ----------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------- - 2*\/ 3 *cos|-----------------|*sin|-----------------| - -------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------- |         |  |  ____    |    \    451    /|     ____    |    \    451    /|                                                                   \        3        /                                                                                                                     \        3        /                                                  ||    |              \        3        /             \        3        /                                                                  2                                                                    2                                                                  2                                                                    2|         |              \        3        /             \        3        /                                                                  2                                                                    2                                                                  2                                                                    2|    |x*\/ 19 *         /       sin |-----------------| + 3*cos |-----------------| - ----------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------- + 2*\/ 3 *cos|-----------------|*sin|-----------------| - ----------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------- |         |  |  ____    |    \    451    /|     ____    |    \    451    /|                                                                   \        3        /                                                                                                                     \        3        /                                                  ||    |              \        3        /             \        3        /                                                                  2                                                                    2                                                                  2                                                                    2|
             /                /    /     ______\\\         |                                                                    /          /    /     ______\\             /    /     ______\\\    /            /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /            /    /     ______\\             /    /     ______\\\ |    |                 /            \        3        /         \        3        /                                                                  2                                                                  2                                                                  2                                                                  2                                                                                                                                        2                                                                                                                                        2              \        3        /    \        3        /                                                                                                                                        2                                                                  2                                                                  2 |         |x*|\/ 57 *cos|-----------------| - \/ 19 *sin|-----------------| - ------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------||    |                                                                    /          /    /     ______\\             /    /     ______\\\    /            /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /            /    /     ______\\             /    /     ______\\\ |         |                                                                    /          /    /     ______\\             /    /     ______\\\    /            /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /            /    /     ______\\             /    /     ______\\\ |    |                 /            \        3        /         \        3        /                                                                  2                                                                  2                                                                  2                                                                  2                                                                                                                                        2                                                                                                                                        2              \        3        /    \        3        /                                                                  2                                                                  2                                                                                                                                        2 |         |x*|\/ 19 *sin|-----------------| + \/ 57 *cos|-----------------| - ------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------||    |                                                                    /          /    /     ______\\             /    /     ______\\\    /            /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /            /    /     ______\\             /    /     ______\\\ |
             |                |    |15*\/ 1047 |||         |                                                                    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |            |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |            |    |15*\/ 1047 ||             |    |15*\/ 1047 ||| |    |                /                                                               /          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /                                                               2                                                                  2\    /                                                               2                                                                  2\                                                            /                                                               2                                                                  2\    /          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\  |         |  |          \        3        /             \        3        /                                                                  2                                                                    2                                                                  2                                                                    2||    |                                                                    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |            |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |            |    |15*\/ 1047 ||             |    |15*\/ 1047 ||| |         |                                                                    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |            |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |            |    |15*\/ 1047 ||             |    |15*\/ 1047 ||| |    |                /                                                               /          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /                                                               2                                                                  2\    /                                                               2                                                                  2\                                                            /          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /                                                               2                                                                  2\  |         |  |          \        3        /             \        3        /                                                                  2                                                                    2                                                                  2                                                                    2||    |                                                                    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |            |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |            |    |15*\/ 1047 ||             |    |15*\/ 1047 ||| |
             |                |atan|-----------|||         |                                                                    |          |atan|-----------||             |atan|-----------|||    |            |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    |            |atan|-----------||             |atan|-----------||| |    |               /                                                                |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |/          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\ |    |/          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\ |                                                            |/          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\ |    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||  |         |  |                                                                /          /    /     ______\\             /    /     ______\\\    /            /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /            /    /     ______\\             /    /     ______\\\ ||    |                                                                    |          |atan|-----------||             |atan|-----------|||    |            |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    |            |atan|-----------||             |atan|-----------||| |         |                                                                    |          |atan|-----------||             |atan|-----------|||    |            |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    |            |atan|-----------||             |atan|-----------||| |    |               /                                                                |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |/          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\ |    |/          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\ |                                                            |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |/          /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\ |  |         |  |                                                                /          /    /     ______\\             /    /     ______\\\    /            /    /     ______\\             /    /     ______\\\    /          /    /     ______\\             /    /     ______\\\    /            /    /     ______\\             /    /     ______\\\ ||    |                                                                    |          |atan|-----------||             |atan|-----------|||    |            |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    |            |atan|-----------||             |atan|-----------||| |
             |        ____    |    \    451    /||         |                                                                    |  ____    |    \    451    /|     ____    |    \    451    /||    |    ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    |    ____    |    \    451    /|     ____    |    \    451    /|| |    |              /                                                                 |          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    ||          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 ||| |    ||          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 ||| |                                                            ||          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 ||| |    |          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||  |         |  |                                                                |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |            |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |            |    |15*\/ 1047 ||             |    |15*\/ 1047 ||| ||    |                                                                    |  ____    |    \    451    /|     ____    |    \    451    /||    |    ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    |    ____    |    \    451    /|     ____    |    \    451    /|| |         |                                                                    |  ____    |    \    451    /|     ____    |    \    451    /||    |    ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    |    ____    |    \    451    /|     ____    |    \    451    /|| |    |              /                                                                 |          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    ||          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 ||| |    ||          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 ||| |                                                            |          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    ||          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 ||| |  |         |  |                                                                |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |            |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |          |    |15*\/ 1047 ||             |    |15*\/ 1047 |||    |            |    |15*\/ 1047 ||             |    |15*\/ 1047 ||| ||    |                                                                    |  ____    |    \    451    /|     ____    |    \    451    /||    |    ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    |    ____    |    \    451    /|     ____    |    \    451    /|| |
           x*|1 + 4*\/ 19 *cos|-----------------||         |                                                                    |\/ 57 *cos|-----------------| - \/ 19 *sin|-----------------||  + |- \/ 19 *cos|-----------------| - \/ 57 *sin|-----------------||    |\/ 57 *cos|-----------------| - \/ 19 *sin|-----------------||  + |- \/ 19 *cos|-----------------| - \/ 57 *sin|-----------------|| |    |             /                                                                  |  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    ||          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------||| |    ||          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------||| |                                                            ||          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------||| |    |  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||  |         |  |                                                                |          |atan|-----------||             |atan|-----------|||    |            |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    |            |atan|-----------||             |atan|-----------||| ||    |                                                                    |\/ 57 *cos|-----------------| - \/ 19 *sin|-----------------||  + |- \/ 19 *cos|-----------------| - \/ 57 *sin|-----------------||    |\/ 57 *cos|-----------------| - \/ 19 *sin|-----------------||  + |- \/ 19 *cos|-----------------| - \/ 57 *sin|-----------------|| |         |                                                                    |\/ 57 *sin|-----------------| - \/ 19 *cos|-----------------||  + |- \/ 19 *sin|-----------------| - \/ 57 *cos|-----------------||    |\/ 57 *sin|-----------------| - \/ 19 *cos|-----------------||  + |- \/ 19 *sin|-----------------| - \/ 57 *cos|-----------------|| |    |             /                                                                  |  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    ||          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------||| |    ||          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------||| |                                                            |  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    ||          |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------||| |  |         |  |                                                                |          |atan|-----------||             |atan|-----------|||    |            |atan|-----------||             |atan|-----------|||    |          |atan|-----------||             |atan|-----------|||    |            |atan|-----------||             |atan|-----------||| ||    |                                                                    |\/ 57 *sin|-----------------| - \/ 19 *cos|-----------------||  + |- \/ 19 *sin|-----------------| - \/ 57 *cos|-----------------||    |\/ 57 *sin|-----------------| - \/ 19 *cos|-----------------||  + |- \/ 19 *sin|-----------------| - \/ 57 *cos|-----------------|| |
             \                \        3        //         \                                                                    \          \        3        /             \        3        //    \            \        3        /             \        3        //    \          \        3        /             \        3        //    \            \        3        /             \        3        // /    |            /                                                                   |\/ 19 *cos|-----------------| + \/ 57 *sin|-----------------||  + |\/ 19 *sin|-----------------| - \/ 57 *cos|-----------------||    |\/ 19 *cos|-----------------| + \/ 57 *sin|-----------------||  + |\/ 19 *sin|-----------------| - \/ 57 *cos|-----------------||    ||  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /|| |    ||  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /|| |                                                            ||  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /|| |    |\/ 19 *cos|-----------------| + \/ 57 *sin|-----------------||  + |\/ 19 *sin|-----------------| - \/ 57 *cos|-----------------||  |         |  |                                                                |  ____    |    \    451    /|     ____    |    \    451    /||    |    ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    |    ____    |    \    451    /|     ____    |    \    451    /|| ||    \                                                                    \          \        3        /             \        3        //    \            \        3        /             \        3        //    \          \        3        /             \        3        //    \            \        3        /             \        3        // /         \                                                                    \          \        3        /             \        3        //    \            \        3        /             \        3        //    \          \        3        /             \        3        //    \            \        3        /             \        3        // /    |            /                                                                   |\/ 19 *cos|-----------------| - \/ 57 *sin|-----------------||  + |\/ 19 *sin|-----------------| + \/ 57 *cos|-----------------||    |\/ 19 *cos|-----------------| - \/ 57 *sin|-----------------||  + |\/ 19 *sin|-----------------| + \/ 57 *cos|-----------------||    ||  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /|| |    ||  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /|| |                                                            |\/ 19 *cos|-----------------| - \/ 57 *sin|-----------------||  + |\/ 19 *sin|-----------------| + \/ 57 *cos|-----------------||    ||  ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /|| |  |         |  |                                                                |  ____    |    \    451    /|     ____    |    \    451    /||    |    ____    |    \    451    /|     ____    |    \    451    /||    |  ____    |    \    451    /|     ____    |    \    451    /||    |    ____    |    \    451    /|     ____    |    \    451    /|| ||    \                                                                    \          \        3        /             \        3        //    \            \        3        /             \        3        //    \          \        3        /             \        3        //    \            \        3        /             \        3        // /
           ---------------------------------------       -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------    |           /                                                                    \          \        3        /             \        3        //    \          \        3        /             \        3        //    \          \        3        /             \        3        //    \          \        3        /             \        3        //    ||\/ 19 *cos|-----------------| + \/ 57 *sin|-----------------||  + |\/ 19 *sin|-----------------| - \/ 57 *cos|-----------------|| |    ||\/ 19 *cos|-----------------| + \/ 57 *sin|-----------------||  + |\/ 19 *sin|-----------------| - \/ 57 *cos|-----------------|| |                                                            ||\/ 19 *cos|-----------------| + \/ 57 *sin|-----------------||  + |\/ 19 *sin|-----------------| - \/ 57 *cos|-----------------|| |    \          \        3        /             \        3        //    \          \        3        /             \        3        //  |         |  |                                                                |\/ 57 *cos|-----------------| - \/ 19 *sin|-----------------||  + |- \/ 19 *cos|-----------------| - \/ 57 *sin|-----------------||    |\/ 57 *cos|-----------------| - \/ 19 *sin|-----------------||  + |- \/ 19 *cos|-----------------| - \/ 57 *sin|-----------------|| ||  -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------       -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------    |           /                                                                    \          \        3        /             \        3        //    \          \        3        /             \        3        //    \          \        3        /             \        3        //    \          \        3        /             \        3        //    ||\/ 19 *cos|-----------------| - \/ 57 *sin|-----------------||  + |\/ 19 *sin|-----------------| + \/ 57 *cos|-----------------|| |    ||\/ 19 *cos|-----------------| - \/ 57 *sin|-----------------||  + |\/ 19 *sin|-----------------| + \/ 57 *cos|-----------------|| |                                                            \          \        3        /             \        3        //    \          \        3        /             \        3        //    ||\/ 19 *cos|-----------------| - \/ 57 *sin|-----------------||  + |\/ 19 *sin|-----------------| + \/ 57 *cos|-----------------|| |  |         |  |                                                                |\/ 57 *sin|-----------------| - \/ 19 *cos|-----------------||  + |- \/ 19 *sin|-----------------| - \/ 57 *cos|-----------------||    |\/ 57 *sin|-----------------| - \/ 19 *cos|-----------------||  + |- \/ 19 *sin|-----------------| - \/ 57 *cos|-----------------|| ||  -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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y(x) = C5*e                                        + C1*e                                                                                                                                                                                                                                                                                                                                                     *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + C2*cos|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*e                                                                                                                                                                                                                                                                                                                                                      + C3*e                                                                                                                                                                                                                                                                                                                                                     *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + C4*cos|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*e                                                                                                                                                                                                                                                                                                                                                     
                                                                                                                                                                                                                                                                                                                                                                                                                  \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         /         \                                                                                                                                                                        3                                                                                                                                                                        /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         /         \                                                                                                                                                                        3                                                                                                                                                                        /
$$y{\left(x \right)} = C_{1} e^{\frac{x \left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \frac{76 \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} - \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \frac{76 \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} + 1\right)}{3}} \sin{\left(\frac{\sqrt{19} x \sqrt{- \frac{456 \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(\sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} - 2 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \frac{11552 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(\left(- \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(\sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}\right)^{2}} - \frac{152 \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(\sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} + \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \frac{5776 \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(\left(- \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(\sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}\right)^{2}} + \frac{304 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(\sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} + 3 \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \frac{17328 \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(\left(- \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(\sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}\right)^{2}}}}{3} \right)} + C_{2} e^{\frac{x \left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \frac{76 \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} - \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \frac{76 \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} + 1\right)}{3}} \cos{\left(\frac{x \left(- \frac{76 \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} - \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \frac{76 \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)}{3} \right)} + C_{3} e^{\frac{x \left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \frac{76 \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(- \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} + 1 + \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \frac{76 \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(- \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}}\right)}{3}} \sin{\left(\frac{\sqrt{19} x \sqrt{- \frac{456 \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(\sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} - \frac{304 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(\sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} - \frac{152 \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(\sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} + \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \frac{5776 \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(\left(- \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(\sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}\right)^{2}} + 2 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \frac{11552 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(\left(- \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(\sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}\right)^{2}} + 3 \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \frac{17328 \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(\left(- \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(\sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}\right)^{2}}}}{3} \right)} + C_{4} e^{\frac{x \left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \frac{76 \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(- \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} + 1 + \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \frac{76 \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(- \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}}\right)}{3}} \cos{\left(\frac{x \left(- \frac{76 \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(- \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} - \frac{76 \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}}{\left(- \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2} + \left(- \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} - \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)^{2}} + \sqrt{19} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)} + \sqrt{57} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)}{3} \right)} + C_{5} e^{\frac{x \left(1 + 4 \sqrt{19} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1047}}{451} \right)}}{3} \right)}\right)}{3}}$$
Trazar el gráfico con C=-1
Trazar el gráfico con C=0
Trazar el gráfico con C=1
Clasificación
nth linear constant coeff homogeneous
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