Sr Examen
Ecuación diferencial y''+6y'+13y=13x^2+38x+14
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Solución
Ha introducido
[src]
2
d d 2
6*--(y(x)) + 13*y(x) + ---(y(x)) = 14 + 13*x + 38*x
dx 2
dx
$$13 y{\left(x \right)} + 6 \frac{d}{d x} y{\left(x \right)} + \frac{d^{2}}{d x^{2}} y{\left(x \right)} = 13 x^{2} + 38 x + 14$$
13*y + 6*y' + y'' = 13*x^2 + 38*x + 14
Respuesta
[src]
2 -3*x y(x) = x + 2*x + (C1*sin(2*x) + C2*cos(2*x))*e
$$y{\left(x \right)} = x^{2} + 2 x + \left(C_{1} \sin{\left(2 x \right)} + C_{2} \cos{\left(2 x \right)}\right) e^{- 3 x}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral