What is the solution for xdy=y+x(cos(y/x))^2dx ?

The solution for xdy=y+x(cos(y/x))^2dx is y=arctan(ln(x)+c_{1})x+pinx

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xdy=y+x(cos(y/x))^2dx

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

y = arctan (ln (x) + c_{1}) x + πn x

Solution steps

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

Solve using substitution:

y = arctan (ln (x) + c_{1}) x + πn x

y = arctan (ln (x) + c_{1}) x + πn x

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What is the solution for xdy=y+x(cos(y/x))^2dx ?
The solution for xdy=y+x(cos(y/x))^2dx is y=arctan(ln(x)+c_{1})x+pinx