Sr Examen

Ecuación diferencial sin2xcos2ydx-sin2ycos2xdy=0

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Para el problema de Cauchy:

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

Gráfico:

interior superior

Solución

Ha introducido [src]
                       d                                
cos(2*y(x))*sin(2*x) - --(y(x))*cos(2*x)*sin(2*y(x)) = 0
                       dx                               
$$\sin{\left(2 x \right)} \cos{\left(2 y{\left(x \right)} \right)} - \sin{\left(2 y{\left(x \right)} \right)} \cos{\left(2 x \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
sin(2*x)*cos(2*y) - sin(2*y)*cos(2*x)*y' = 0
Gráfico para el problema de Cauchy
Clasificación
factorable
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, 0.8714871517913855)
(-5.555555555555555, 0.7754062474868685)
(-3.333333333333333, 0.7046702860962163)
(-1.1111111111111107, 0.8380459477723818)
(1.1111111111111107, 0.8380441362179545)
(3.333333333333334, 0.7046745602060647)
(5.555555555555557, 0.7754058218928128)
(7.777777777777779, 0.8714914191588595)
(10.0, 0.7499989278053178)
(10.0, 0.7499989278053178)