Ecuación diferencial y''''-16y+x^2=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
2
x -2*x 2*x
y(x) = -- + C1*e + C2*e + C3*sin(2*x) + C4*cos(2*x)
16
$$y{\left(x \right)} = C_{1} e^{- 2 x} + C_{2} e^{2 x} + C_{3} \sin{\left(2 x \right)} + C_{4} \cos{\left(2 x \right)} + \frac{x^{2}}{16}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral