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