Q18 of 45 Page 1

Solve the differential equation (tab-1x – y)dx = (1 + x2)dy.

We have-

(tan-1 x - y) dx = (1+x2) 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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