Sr Examen
Ecuación diferencial y''+8y'+20y=100(x^2)-26(xe^x)
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Solución
Ha introducido
[src]
2
d d 2 x
8*--(y(x)) + 20*y(x) + ---(y(x)) = 100*x - 26*x*e
dx 2
dx
$$20 y{\left(x \right)} + 8 \frac{d}{d x} y{\left(x \right)} + \frac{d^{2}}{d x^{2}} y{\left(x \right)} = 100 x^{2} - 26 x e^{x}$$
20*y + 8*y' + y'' = 100*x^2 - 26*x*exp(x)
Respuesta
[src]
x x
11 2 260*e -4*x 26*x*e
y(x) = -- - 4*x + 5*x + ------ + (C1*sin(2*x) + C2*cos(2*x))*e - -------
10 841 29
$$y{\left(x \right)} = 5 x^{2} - \frac{26 x e^{x}}{29} - 4 x + \left(C_{1} \sin{\left(2 x \right)} + C_{2} \cos{\left(2 x \right)}\right) e^{- 4 x} + \frac{260 e^{x}}{841} + \frac{11}{10}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral