Q. 233.5( 2 Votes )

# Solve the differential equation (tan^{-1}x – y)dx = (1 + x^{2})dy.**[CBSE 2017]**

**[CBSE 2017]**

Answer :

We have-

(tan^{-1} x - y) dx = (1+x^{2}) dy

This is of the form of Linear Differential Equation where

The solution of linear differential equation is given by-

let tan^{-1} x = t

Now, by using by parts integration-

This is the required solution.

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