Sr Examen
Ecuación diferencial y''''+8y''+16y=0
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Solución
Ha introducido
[src]
2 4
d d
8*---(y(x)) + 16*y(x) + ---(y(x)) = 0
2 4
dx dx
$$16 y{\left(x \right)} + 8 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{4}}{d x^{4}} y{\left(x \right)} = 0$$
16*y + 8*y'' + y'''' = 0
Respuesta
[src]
y(x) = (C1 + C2*x)*sin(2*x) + (C3 + C4*x)*cos(2*x)
$$y{\left(x \right)} = \left(C_{1} + C_{2} x\right) \sin{\left(2 x \right)} + \left(C_{3} + C_{4} x\right) \cos{\left(2 x \right)}$$
Clasificación
nth linear constant coeff homogeneous