Sr Examen
Ecuación diferencial y''-2y'+5y=10sinx+17sin2x
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Solución
Ha introducido
[src]
2
d d
- 2*--(y(x)) + 5*y(x) + ---(y(x)) = 10*sin(x) + 17*sin(2*x)
dx 2
dx
$$5 y{\left(x \right)} - 2 \frac{d}{d x} y{\left(x \right)} + \frac{d^{2}}{d x^{2}} y{\left(x \right)} = 10 \sin{\left(x \right)} + 17 \sin{\left(2 x \right)}$$
5*y - 2*y' + y'' = 10*sin(x) + 17*sin(2*x)
Respuesta
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x y(x) = 2*sin(x) + 4*cos(2*x) + (C1*sin(2*x) + C2*cos(2*x))*e + cos(x) + sin(2*x)
$$y{\left(x \right)} = \left(C_{1} \sin{\left(2 x \right)} + C_{2} \cos{\left(2 x \right)}\right) e^{x} + 2 \sin{\left(x \right)} + \sin{\left(2 x \right)} + \cos{\left(x \right)} + 4 \cos{\left(2 x \right)}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral