Find the solution of the differential equation

Question

Philoid · Accepted Answer

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.