Sr Examen
Ecuación diferencial y''-2y'+5y=25x^2+12
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Solución
Ha introducido
[src]
2
d d 2
- 2*--(y(x)) + 5*y(x) + ---(y(x)) = 12 + 25*x
dx 2
dx
$$5 y{\left(x \right)} - 2 \frac{d}{d x} y{\left(x \right)} + \frac{d^{2}}{d x^{2}} y{\left(x \right)} = 25 x^{2} + 12$$
5*y - 2*y' + y'' = 25*x^2 + 12
Respuesta
[src]
2 x y(x) = 2 + 4*x + 5*x + (C1*sin(2*x) + C2*cos(2*x))*e
$$y{\left(x \right)} = 5 x^{2} + 4 x + \left(C_{1} \sin{\left(2 x \right)} + C_{2} \cos{\left(2 x \right)}\right) e^{x} + 2$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral