Sr Examen
Ecuación diferencial 2*x-3*y-5+(3*x+2*y-5)*y'
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Solución
Ha introducido
[src]
d
-5 - 3*y(x) + 2*x + (-5 + 2*y(x) + 3*x)*--(y(x)) = 0
dx
$$2 x + \left(3 x + 2 y{\left(x \right)} - 5\right) \frac{d}{d x} y{\left(x \right)} - 3 y{\left(x \right)} - 5 = 0$$
2*x + (3*x + 2*y - 5)*y' - 3*y - 5 = 0
Respuesta
[src]
/5/13 + y(x)\
3*atan|-----------|
/ ____________________\ | 25 |
| / 2 | | - -- + x |
/ 25 \ | / (5/13 + y(x)) | \ 13 /
log|- -- + x| = C1 - log| / 1 + -------------- | - -------------------
\ 13 / | / 2 | 2
| / / 25 \ |
| / |- -- + x| |
\\/ \ 13 / /
$$\log{\left(x - \frac{25}{13} \right)} = C_{1} - \log{\left(\sqrt{1 + \frac{\left(y{\left(x \right)} + \frac{5}{13}\right)^{2}}{\left(x - \frac{25}{13}\right)^{2}}} \right)} - \frac{3 \operatorname{atan}{\left(\frac{y{\left(x \right)} + \frac{5}{13}}{x - \frac{25}{13}} \right)}}{2}$$
Gráfico para el problema de Cauchy
Clasificación
linear coefficients
1st power series
lie group
linear coefficients Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, -0.821090062154584)
(-5.555555555555555, -1.9393892941642457)
(-3.333333333333333, -2.6037433870972704)
(-1.1111111111111107, -2.7501401357937216)
(1.1111111111111107, -2.1084909763844606)
(3.333333333333334, -0.7237384214479716)
(5.555555555555557, 2.3858701223325355e+180)
(7.777777777777779, 8.388243567718496e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)