Find the solution of the differential equation



We can write above differential equation as



By the method of variable separable we can write,



Integrating both sides,



Let 1 + y2 = t and 1 + x2 = u


2y dy = dt 2x dx = du



Putting values in integral we get,





Putting values of t and u,



Where C is the arbitrary constant.


is the required solution of the differential equation.


1