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Ecuaciones diferenciales/ sin(2*y)*dx=(sin(2*y)*sin(2*y)-2*sin(y)*sin(y)+2*x)*dy

Ecuación diferencial sin(2*y)*dx=(sin(2*y)*sin(2*y)-2*sin(y)*sin(y)+2*x)*dy

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Para el problema de Cauchy:

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

Gráfico:

interior superior
⌨

Solución

Ha introducido [src] 
                 2         d               2       d              d       
sin(2*y(x)) = sin (2*y(x))*--(y(x)) - 2*sin (y(x))*--(y(x)) + 2*x*--(y(x))
                           dx                      dx             dx
$$\sin{\left(2 y{\left(x \right)} \right)} = 2 x \frac{d}{d x} y{\left(x \right)} - 2 \sin^{2}{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + \sin^{2}{\left(2 y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)}$$ 
sin(2*y) = 2*x*y' - 2*sin(y)^2*y' + sin(2*y)^2*y'
Gráfico para el problema de Cauchy
Clasificación
factorable
1st exact
1st power series
lie group
1st exact Integral
Respuesta numérica [src] 
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.6259710741043629)
(-5.555555555555555, 0.4740952983149487)
(-3.333333333333333, 0.2953867450415049)
(-1.1111111111111107, 0.09946331334777364)
(1.1111111111111107, -0.09775289077207332)
(3.333333333333334, -0.2821108997076731)
(5.555555555555557, -0.4459007647718173)
(7.777777777777779, -0.5869115161269246)
(10.0, -0.7060829439737624)
(10.0, -0.7060829439737624)
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