Sr Examen
Ecuación diferencial y''''+5y''+4y=90sin4x
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
2 4
d d
4*y(x) + 5*---(y(x)) + ---(y(x)) = 90*sin(4*x)
2 4
dx dx
$$4 y{\left(x \right)} + 5 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{4}}{d x^{4}} y{\left(x \right)} = 90 \sin{\left(4 x \right)}$$
4*y + 5*y'' + y'''' = 90*sin(4*x)
Respuesta
[src]
sin(4*x)
y(x) = -------- + C1*sin(x) + C2*sin(2*x) + C3*cos(x) + C4*cos(2*x)
2
$$y{\left(x \right)} = C_{1} \sin{\left(x \right)} + C_{2} \sin{\left(2 x \right)} + C_{3} \cos{\left(x \right)} + C_{4} \cos{\left(2 x \right)} + \frac{\sin{\left(4 x \right)}}{2}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral