Sr Examen
Ecuación diferencial y''+2*y'+5*y=(e^(2*x))*(x^2-7*x+2)
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Solución
Ha introducido
[src]
2
d d / 2 \ 2*x
2*--(y(x)) + 5*y(x) + ---(y(x)) = \2 + x - 7*x/*e
dx 2
dx
$$5 y{\left(x \right)} + 2 \frac{d}{d x} y{\left(x \right)} + \frac{d^{2}}{d x^{2}} y{\left(x \right)} = \left(x^{2} - 7 x + 2\right) e^{2 x}$$
5*y + 2*y' + y'' = (x^2 - 7*x + 2)*exp(2*x)
Respuesta
[src]
/ 2\ 2*x
-x \930 - 1339*x + 169*x /*e
y(x) = (C1*sin(2*x) + C2*cos(2*x))*e + ----------------------------
2197
$$y{\left(x \right)} = \left(C_{1} \sin{\left(2 x \right)} + C_{2} \cos{\left(2 x \right)}\right) e^{- x} + \frac{\left(169 x^{2} - 1339 x + 930\right) e^{2 x}}{2197}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral