What is the solution for (dy)/(dx)=sin(x)(cos(2y)-cos^2(y)) ?

The solution for (dy)/(dx)=sin(x)(cos(2y)-cos^2(y)) is y=arccot(-cos(x)+c_{1})+pin

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(dy)/(dx)=sin(x)(cos(2y)-cos^2(y))

\frac{d y}{d x} = sin (x) (cos (2 y) - cos^{2} (y))

y = arccot (- cos (x) + c_{1}) + πn

Solution steps

\frac{d y}{d x} = sin (x) (cos (2 y) - cos^{2} (y))

Solve separable ODE:

y = arccot (- cos (x) + c_{1}) + πn

y = arccot (- cos (x) + c_{1}) + πn

What is the solution for (dy)/(dx)=sin(x)(cos(2y)-cos^2(y)) ?
The solution for (dy)/(dx)=sin(x)(cos(2y)-cos^2(y)) is y=arccot(-cos(x)+c_{1})+pin