Sr Examen
Ecuación diferencial y'''-3y'+2y=2(sin(x)-2cos(x))
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Solución
Ha introducido
[src]
3
d d
- 3*--(y(x)) + 2*y(x) + ---(y(x)) = -4*cos(x) + 2*sin(x)
dx 3
dx
$$2 y{\left(x \right)} - 3 \frac{d}{d x} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = 2 \sin{\left(x \right)} - 4 \cos{\left(x \right)}$$
2*y - 3*y' + y''' = 2*sin(x) - 4*cos(x)
Respuesta
[src]
-2*x x y(x) = C3*e + (C1 + C2*x)*e + sin(x)
$$y{\left(x \right)} = C_{3} e^{- 2 x} + \left(C_{1} + C_{2} x\right) e^{x} + \sin{\left(x \right)}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral