Sr Examen
Ecuación diferencial lncosydx+xtanydy=0
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Solución
Ha introducido
[src]
d x*--(y(x))*tan(y(x)) + log(cos(y(x))) = 0 dx
$$x \tan{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + \log{\left(\cos{\left(y{\left(x \right)} \right)} \right)} = 0$$
x*tan(y)*y' + log(cos(y)) = 0
Respuesta
[src]
y(x)
/
|
| tan(y)
| ----------- dy = C1 - log(x)
| log(cos(y))
|
/
$$\int\limits^{y{\left(x \right)}} \frac{\tan{\left(y \right)}}{\log{\left(\cos{\left(y \right)} \right)}}\, dy = C_{1} - \log{\left(x \right)}$$
Clasificación
separable
1st exact
almost linear
separable reduced
lie group
separable Integral
1st exact Integral
almost linear Integral
separable reduced Integral