Sr Examen
Ecuación diferencial y'''+3*y''+3*y'+y=5*x'-20*x'
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
2 3
d d d
3*--(y(x)) + 3*---(y(x)) + ---(y(x)) + y(x) = -15
dx 2 3
dx dx
$$y{\left(x \right)} + 3 \frac{d}{d x} y{\left(x \right)} + 3 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = -15$$
y + 3*y' + 3*y'' + y''' = -15
Respuesta
[src]
-x y(x) = -15 + (C1 + x*(C2 + C3*x))*e
$$y{\left(x \right)} = \left(C_{1} + x \left(C_{2} + C_{3} x\right)\right) e^{- x} - 15$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral