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(x^(2) -1) dy/dx + 2xy = 2/(x^(2)-1)...

`(x^(2) -1) dy/dx + 2xy = 2/(x^(2)-1)`

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The solution of differential equation (x^(2)-1) (dy)/(dx) + 2xy = 1/(x^(2)-1) is

(x^(2)+ 1) dy/dx+ 2xy = 4x^(2)

The solution of (x^(2) -1) (dy)/(dx) + 2xy = 1 is

(dy)/(dx) = (2xy)/(x^(2)-1-2y)

(dy)/(dx) = (2xy)/(x^(2)-1-2y)

(dy)/(dx) = (2xy)/(x^(2)-1-2y)

The solution of (1-x^(2)) (dy)/(dx) + xy = xy^(2) is