Question

Solve: dy/dx = ((1 + y²)/xy(1 + x²))

Answer 1

The given differential equation is 

 

Integrating, we get 

log |1 + y²| = 2log |x| – log |1 + x²| + 2log c

(1 + y²)(1 + y²) = c²x² 

which is the required solution.