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

Explanation

`xdy/dx = y - xtan(y/x)`

`=>dy/dx = y/x -tan(y/x)`

Let `y/x = t=> y = xt=>dy/dx = xdt/dx+t`

So, our equation becomes,

`=>xdt/dx+t = t-tant`

`=>xdt/dx = -tant`

`=>-dt/tant = dx/x`

`=>-cottdt = x^-1dx`

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