Ecuación diferencial y''-2y'+5y=5x^2+6x-12
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
2 x
y(x) = -2 + x + 2*x + (C1*sin(2*x) + C2*cos(2*x))*e
$$y{\left(x \right)} = x^{2} + 2 x + \left(C_{1} \sin{\left(2 x \right)} + C_{2} \cos{\left(2 x \right)}\right) e^{x} - 2$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral