Sr Examen
Ecuación diferencial y'''+2y''+5y'-26y=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
2 3
d d d
-26*y(x) + 2*---(y(x)) + 5*--(y(x)) + ---(y(x)) = 0
2 dx 3
dx dx
$$- 26 y{\left(x \right)} + 5 \frac{d}{d x} y{\left(x \right)} + 2 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = 0$$
-26*y + 5*y' + 2*y'' + y''' = 0
Respuesta
[src]
2*x -2*x y(x) = C3*e + (C1*sin(3*x) + C2*cos(3*x))*e
$$y{\left(x \right)} = C_{3} e^{2 x} + \left(C_{1} \sin{\left(3 x \right)} + C_{2} \cos{\left(3 x \right)}\right) e^{- 2 x}$$
Clasificación
nth linear constant coeff homogeneous