Solve the following differential equation: `x(dy)/(dx)=y-xcos^2(y/x)`

Explanation

Given:$$ x \frac{d y}{d x}=y-x \cos ^{2}\left(\frac{y}{x}\right) $$
Dividing throughout by `x`
$$ \frac{d y}{d x}=\frac{y}{x}-\cos ^{2}\left(\frac{y}{x}\right) \ldots(1) $$
It is a homogeneous equation.
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