Sr Examen
Ecuación diferencial 3y''-6y'+6y=e^x*secx
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Solución
Ha introducido
[src]
2
d d x
- 6*--(y(x)) + 3*---(y(x)) + 6*y(x) = e *sec(x)
dx 2
dx
$$6 y{\left(x \right)} - 6 \frac{d}{d x} y{\left(x \right)} + 3 \frac{d^{2}}{d x^{2}} y{\left(x \right)} = e^{x} \sec{\left(x \right)}$$
6*y - 6*y' + 3*y'' = exp(x)*sec(x)
Respuesta
[src]
// x\ / log(cos(x))\ \ x
y(x) = ||C1 + -|*sin(x) + |C2 + -----------|*cos(x)|*e
\\ 3/ \ 3 / /
$$y{\left(x \right)} = \left(\left(C_{1} + \frac{x}{3}\right) \sin{\left(x \right)} + \left(C_{2} + \frac{\log{\left(\cos{\left(x \right)} \right)}}{3}\right) \cos{\left(x \right)}\right) e^{x}$$
Clasificación
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral