The solution of the differential equatio...

The solution of the differential equation
`xy(dy)/(dx)={(1+y^2)(1+x+x^2)}/(1+x^2)` is:

A

(a) `1/2 log (1 + y^2)= log x -tan^(-1) x +c `

B

(b) `1/2 log (1+y^2) = log x + tan^(-1) x +c `

C

(c) `log (1+y^2)=log x -tan^(-1) x+c `

D

(d) `log (1+y^2) = log x + tan^(-1) x+c`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

The solution of the differential equation x+y(dy)/(dx)=2y is

The solution of the differential equation x(dy)/(dx)+y = y^2 is

The solution of the differential equation (dy)/(dx)=(1+y^2)/(1+x^2) is

The solution of the differential equation x(dy)/(dx)+y=y^2 is

The solution of the differential equation (dy)/(dx)=(1+x)(1+y^2) is

The solution of the differential equation x sec y (dy)/(dx)=1 is

The solution of the differential equation (1+x^2)(dy)/(dx)=x is

The solution of the differential equation (dy)/(dx)+(1+x^2)/x=0 is

The solution of the differential equation (dy)/(dx)+(1+x^2)/x =0 is

The solution of the differential equation (dy)/(dx)+y/x=x^2 is