Sr Examen
Ecuación diferencial y'''''-6y''''+9y'''=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
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4 3 5
d d d
- 6*---(y(x)) + 9*---(y(x)) + ---(y(x)) = 0
4 3 5
dx dx dx
$$9 \frac{d^{3}}{d x^{3}} y{\left(x \right)} - 6 \frac{d^{4}}{d x^{4}} y{\left(x \right)} + \frac{d^{5}}{d x^{5}} y{\left(x \right)} = 0$$
9*y''' - 6*y'''' + y''''' = 0
Respuesta
[src]
2 3*x / 3*x\ y(x) = C1 + C2*x + C5*e + x*\C3 + C4*e /
$$y{\left(x \right)} = C_{1} + C_{2} x^{2} + C_{5} e^{3 x} + x \left(C_{3} + C_{4} e^{3 x}\right)$$
Clasificación
nth linear constant coeff homogeneous
nth order reducible