Sr Examen
Ecuación diferencial y'''-6y''+9y'=x
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Solución
Ha introducido
[src]
2 3
d d d
- 6*---(y(x)) + 9*--(y(x)) + ---(y(x)) = x
2 dx 3
dx dx
$$9 \frac{d}{d x} y{\left(x \right)} - 6 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = x$$
9*y' - 6*y'' + y''' = x
Respuesta
[src]
2
x 2*x 3*x
y(x) = C1 + -- + --- + (C2 + C3*x)*e
18 27
$$y{\left(x \right)} = C_{1} + \frac{x^{2}}{18} + \frac{2 x}{27} + \left(C_{2} + C_{3} x\right) e^{3 x}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth order reducible
nth linear constant coeff variation of parameters Integral