Sr Examen
Ecuación diferencial y'''-y'=x-senx
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Solución
Ha introducido
[src]
3
d d
- --(y(x)) + ---(y(x)) = x - sin(x)
dx 3
dx
$$- \frac{d}{d x} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = x - \sin{\left(x \right)}$$
-y' + y''' = x - sin(x)
Respuesta
[src]
2
x cos(x) -x x
y(x) = C1 - -- - ------ + C2*e + C3*e
2 2
$$y{\left(x \right)} = C_{1} + C_{2} e^{- x} + C_{3} e^{x} - \frac{x^{2}}{2} - \frac{\cos{\left(x \right)}}{2}$$
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