Sr Examen
Ecuación diferencial y''+2y'+5y=(e^-x)*sec(2x)
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Solución
Ha introducido
[src]
2
d d -x
2*--(y(x)) + 5*y(x) + ---(y(x)) = e *sec(2*x)
dx 2
dx
$$5 y{\left(x \right)} + 2 \frac{d}{d x} y{\left(x \right)} + \frac{d^{2}}{d x^{2}} y{\left(x \right)} = e^{- x} \sec{\left(2 x \right)}$$
5*y + 2*y' + y'' = exp(-x)*sec(2*x)
Respuesta
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// x\ / log(cos(2*x))\ \ -x
y(x) = ||C1 + -|*sin(2*x) + |C2 + -------------|*cos(2*x)|*e
\\ 2/ \ 4 / /
$$y{\left(x \right)} = \left(\left(C_{1} + \frac{x}{2}\right) \sin{\left(2 x \right)} + \left(C_{2} + \frac{\log{\left(\cos{\left(2 x \right)} \right)}}{4}\right) \cos{\left(2 x \right)}\right) e^{- x}$$
Clasificación
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral