Ecuación diferencial y'''-4y''+3y'=x^2+x*exp(2x)
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
3 2 2*x
x 4*x 26*x x 3*x (1 - 2*x)*e
y(x) = C1 + -- + ---- + ---- + C2*e + C3*e + --------------
9 9 27 4
$$y{\left(x \right)} = C_{1} + C_{2} e^{x} + C_{3} e^{3 x} + \frac{x^{3}}{9} + \frac{4 x^{2}}{9} + \frac{26 x}{27} + \frac{\left(1 - 2 x\right) e^{2 x}}{4}$$
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