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If y =(tan^-1 x)^2, show that (x^2+1)^2 d^2y/dx^2+2x(x^2+1)dy/dx=2.

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If y =(tan-1 x)2, show that (x2+1)2 d2y/dx2+2x(x2+1)dy/dx=2.

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Given differential equation is dy/dx + y cot x = 4x cosec x and is of the type dy/dx+Py=Q where

Its solution is given by

Hence, the particular solution of given differential equation is

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