Find the general solution of the differential equations `(dy)/(dx)=(1+x^2)(1+y^2)`

Explanation

Given, `(dy)/(dx)=(1+x^(2))(1+y^(2))`
`implies (dy)/(1+y^(2))=(1+x^(2))dx`
`int(dy)/(1+y^(2))=intdx+intx^(2)dx`
`tan^(-1)y=x+(x^(3))/(3)+C`