The equation of the curve passing through the point `(1,pi/4)` and having a slope of tangent at any point (x,y) as `y/x - cos^2(y/x)` is

Explanation

Given,
`(dy)/(dx)​=y/x​−cos^2(y/x)`​

Multiply by `x` both side,

` x(dy)/(dx)​=xy/x​−xcos^2(y/x)`

`​ x(dy)/(dx)​=y​−xcos^2(y/x)`

` x(dy)/(dx)​-y​=−xcos^2(y/x)`

`(x(dy)-y(dx))/(dx)​​=−xcos^2(y/x)`

`(x(dy)-y(dx))/x​​=−cos^2(y/x)dx`


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