Sr Examen
Ecuación diferencial y'''+y''+3y'-5y=0
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Solución
Ha introducido
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2 3
d d d
-5*y(x) + 3*--(y(x)) + ---(y(x)) + ---(y(x)) = 0
dx 2 3
dx dx
$$- 5 y{\left(x \right)} + 3 \frac{d}{d x} y{\left(x \right)} + \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = 0$$
-5*y + 3*y' + y'' + y''' = 0
Respuesta
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x -x y(x) = C3*e + (C1*sin(2*x) + C2*cos(2*x))*e
$$y{\left(x \right)} = C_{3} e^{x} + \left(C_{1} \sin{\left(2 x \right)} + C_{2} \cos{\left(2 x \right)}\right) e^{- x}$$
Clasificación
nth linear constant coeff homogeneous