Question

the solution of diffential equation dy/dx=1+y*y/1+x*x

Answer 1

irytaiydtyrusmtumstusmyranssutmud

Answer 2

dy/dx = (1+$y^{2}$)/(1+$x^{2}$)

dy/(1+$y^{2}$) = dx/(1+$x^{2}$)

Integrating on both sides we get

∫$\frac{1}{1+y^{2}}$ dy = ∫$\frac{1}{1+x^{2}}$ dx

$tan^{-1}$ y = $tan^{-1}$ x +C