Ecuación diferencial y''''-16y''=8x+16
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
2 3
x x -4*x 4*x
y(x) = C1 - -- - -- + C2*x + C3*e + C4*e
2 12
$$y{\left(x \right)} = C_{1} + C_{2} x + C_{3} e^{- 4 x} + C_{4} e^{4 x} - \frac{x^{3}}{12} - \frac{x^{2}}{2}$$
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