Sr Examen
Ecuación diferencial y'''-3y''+4y=(18x-21)e^-x
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Solución
Ha introducido
[src]
2 3
d d -x
- 3*---(y(x)) + 4*y(x) + ---(y(x)) = (-21 + 18*x)*e
2 3
dx dx
$$4 y{\left(x \right)} - 3 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = \left(18 x - 21\right) e^{- x}$$
4*y - 3*y'' + y''' = (18*x - 21)*exp(-x)
Respuesta
[src]
2*x / 2 \ -x y(x) = (C1 + C2*x)*e + \C3 + x - x/*e
$$y{\left(x \right)} = \left(C_{1} + C_{2} x\right) e^{2 x} + \left(C_{3} + x^{2} - x\right) e^{- x}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral