Sr Examen
Ecuación diferencial ln(cos(y))dx+tg(y)dy=0
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Solución
Ha introducido
[src]
d --(y(x))*tan(y(x)) + log(cos(y(x))) = 0 dx
$$\log{\left(\cos{\left(y{\left(x \right)} \right)} \right)} + \tan{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
log(cos(y)) + tan(y)*y' = 0
Respuesta
[src]
y(x)
/
|
| tan(y)
| ----------- dy = C1 - x
| log(cos(y))
|
/
$$\int\limits^{y{\left(x \right)}} \frac{\tan{\left(y \right)}}{\log{\left(\cos{\left(y \right)} \right)}}\, dy = C_{1} - x$$
Gráfico para el problema de Cauchy
Clasificación
separable
1st exact
almost linear
1st power series
lie group
separable Integral
1st exact Integral
almost linear Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 1.5147874990440868)
(-5.555555555555555, nan)
(-3.333333333333333, nan)
(-1.1111111111111107, nan)
(1.1111111111111107, nan)
(3.333333333333334, nan)
(5.555555555555557, nan)
(7.777777777777779, nan)
(10.0, nan)
(10.0, nan)