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Ecuaciones diferenciales/ exp(x)*cos(x)*dx+(1+exp(x))*sin(y)dy=0

Ecuación diferencial exp(x)*cos(x)*dx+(1+exp(x))*sin(y)dy=0

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Para el problema de Cauchy:

y() =
y'() =
y''() =
y'''() =
y''''() =

Gráfico:

interior superior
⌨

Solución

Ha introducido [src] 
d                            x   d         x              
--(y(x))*sin(y(x)) + cos(x)*e  + --(y(x))*e *sin(y(x)) = 0
dx                               dx
$$e^{x} \sin{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + e^{x} \cos{\left(x \right)} + \sin{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} = 0$$ 
exp(x)*sin(y)*y' + exp(x)*cos(x) + sin(y)*y' = 0
Gráfico para el problema de Cauchy
Clasificación
separable
1st exact
1st power series
lie group
separable Integral
1st exact Integral
Respuesta numérica [src] 
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.7502729913075198)
(-5.555555555555555, 0.7459872932398633)
(-3.333333333333333, 0.7698374703450425)
(-1.1111111111111107, 0.8519752440312608)
(1.1111111111111107, 8.42424986197752e-10)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 5.107659831618641e-38)
(7.777777777777779, 8.388243567339675e+296)
(10.0, 9.036991477623112e-277)
(10.0, 9.036991477623112e-277)
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