Ecuación diferencial y'''-2y''+2y'=2*x+15cos(x)
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
2
x x
y(x) = C1 + x + -- + 3*sin(x) + 6*cos(x) + (C2*sin(x) + C3*cos(x))*e
2
$$y{\left(x \right)} = C_{1} + \frac{x^{2}}{2} + x + \left(C_{2} \sin{\left(x \right)} + C_{3} \cos{\left(x \right)}\right) e^{x} + 3 \sin{\left(x \right)} + 6 \cos{\left(x \right)}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth order reducible
nth linear constant coeff variation of parameters Integral