Question

tan^-1x + tan^-1 y = c is the general solution of the differential equation:

Answer 1

If y = f(x) is solution of a differential equation, then differentiating y = f(x) will give the same differential equation

Let us find the differential equation by differentiating y with respect to x

⇒ tan^-1x + tan^-1y = c

Differentiating with respect to x

⇒ (1 + y²)dx + (1 + x²)dy = 0