Sr Examen
Ecuación diferencial y'''-3*y'-2*y=9*(e^2*x)
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Solución
Ha introducido
[src]
3
d d 2
- 3*--(y(x)) - 2*y(x) + ---(y(x)) = 9*x*e
dx 3
dx
$$- 2 y{\left(x \right)} - 3 \frac{d}{d x} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = 9 x e^{2}$$
-2*y - 3*y' + y''' = 9*x*exp(2)
Respuesta
[src]
2 2
27*e 2*x -x 9*x*e
y(x) = ----- + C3*e + (C1 + C2*x)*e - ------
4 2
$$y{\left(x \right)} = C_{3} e^{2 x} - \frac{9 x e^{2}}{2} + \left(C_{1} + C_{2} x\right) e^{- x} + \frac{27 e^{2}}{4}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral