Ecuación diferencial y''''+8*y''+16*y=9cosx+18
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
y(x) = 9/8 + (C1 + C2*x)*sin(2*x) + (C3 + C4*x)*cos(2*x) + cos(x)
$$y{\left(x \right)} = \left(C_{1} + C_{2} x\right) \sin{\left(2 x \right)} + \left(C_{3} + C_{4} x\right) \cos{\left(2 x \right)} + \cos{\left(x \right)} + \frac{9}{8}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral