Sr Examen
Ecuación diferencial y''''+5y''+4y=0
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Solución
Ha introducido
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2 4
d d
4*y(x) + 5*---(y(x)) + ---(y(x)) = 0
2 4
dx dx
$$4 y{\left(x \right)} + 5 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{4}}{d x^{4}} y{\left(x \right)} = 0$$
4*y + 5*y'' + y'''' = 0
Respuesta
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y(x) = C1*sin(x) + C2*sin(2*x) + C3*cos(x) + C4*cos(2*x)
$$y{\left(x \right)} = C_{1} \sin{\left(x \right)} + C_{2} \sin{\left(2 x \right)} + C_{3} \cos{\left(x \right)} + C_{4} \cos{\left(2 x \right)}$$
Clasificación
nth linear constant coeff homogeneous