Sr Examen
Ecuación diferencial y''''''+2y'''''+y''''=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
5 4 6
d d d
2*---(y(x)) + ---(y(x)) + ---(y(x)) = 0
5 4 6
dx dx dx
$$\frac{d^{4}}{d x^{4}} y{\left(x \right)} + 2 \frac{d^{5}}{d x^{5}} y{\left(x \right)} + \frac{d^{6}}{d x^{6}} y{\left(x \right)} = 0$$
y'''' + 2*y''''' + y'''''' = 0
Respuesta
[src]
2 3 -x / -x\ y(x) = C1 + C2*x + C3*x + C6*e + x*\C4 + C5*e /
$$y{\left(x \right)} = C_{1} + C_{2} x^{2} + C_{3} x^{3} + C_{6} e^{- x} + x \left(C_{4} + C_{5} e^{- x}\right)$$
Clasificación
nth linear constant coeff homogeneous
nth order reducible