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Ecuación diferencial ctgx×cos^2dx+sin^2x×tgydy=0

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Para el problema de Cauchy:

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

Gráfico:

interior superior

Solución

Ha introducido [src]
   2                                            
cos (dx)*cot(x)      2    d                     
--------------- + sin (x)*--(y(x))*tan(y(x)) = 0
       dx                 dx                    
$$\sin^{2}{\left(x \right)} \tan{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + \frac{\cos^{2}{\left(dx \right)} \cot{\left(x \right)}}{dx} = 0$$
sin(x)^2*tan(y)*y' + cos(dx)^2*cot(x)/dx = 0
Clasificación
separable
1st exact
lie group
separable Integral
1st exact Integral