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.