Sr Examen
Ecuación diferencial y'''-4y''+3y'=o
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Solución
Ha introducido
[src]
2 3
d d d
- 4*---(y(x)) + 3*--(y(x)) + ---(y(x)) = o
2 dx 3
dx dx
$$3 \frac{d}{d x} y{\left(x \right)} - 4 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = o$$
3*y' - 4*y'' + y''' = o
Respuesta
[src]
x 3*x o*x
y(x) = C1 + C2*e + C3*e + ---
3
$$y{\left(x \right)} = C_{1} + C_{2} e^{x} + C_{3} e^{3 x} + \frac{o x}{3}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth order reducible
nth linear constant coeff variation of parameters Integral