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