The correct solution of the differential equation dy/dx = (1+ x2)(1+y2)
Answer & explanation
Correct answer: option 3
given differential equation is dy/dx = (1+ x2)(1+y2)
⇒ dy/(1+y2) = (1+x2)dx
Integrating both sides of this equation, we get
∫dy/(1+y2) = ∫(1+x2)dx
⇒ tan-1(y) = x + x3/3 + C