Sr Examen
Ecuación diferencial y''+ctg(x)*y'+1/sin(x)
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Solución
Ha introducido
[src]
2
1 d d
------ + --(y(x))*cot(x) + ---(y(x)) = 0
sin(x) dx 2
dx
$$\cot{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{1}{\sin{\left(x \right)}} = 0$$
cot(x)*y' + y'' + 1/sin(x) = 0
Respuesta
[src]
/
|
| x
y(x) = C1 - | ------ dx + C2*(-log(1 + cos(x)) + log(-1 + cos(x)))
| sin(x)
|
/
$$y{\left(x \right)} = C_{1} + C_{2} \left(\log{\left(\cos{\left(x \right)} - 1 \right)} - \log{\left(\cos{\left(x \right)} + 1 \right)}\right) - \int \frac{x}{\sin{\left(x \right)}}\, dx$$
Clasificación
nth order reducible