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