The solution of the differential equatio...

The solution of the differential equation `x(e^(2y)-1)dy + (x^2-1) e^y dx=0` is

A

`e^y + e^(-y) =log x - x^2/2+c`

B

`e^y-e^(-y) = log x - x^2/2+c `

C

`e^y + e^(-y) = log x + x^2/2 +c`

D

`e^y - e^(-y) = log x +x^2/2 + c `

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

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

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 (1+y^2)tan^(-1) x dx +(1+x^2)2ydy=0 is

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

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

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

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

The solution of the differential equation 3e^x tan y dx + (1-e^x) sec^2 y dy=0 is

Solution of the differential equation (x+y-1)dx+(2x+2y-3)dy=0 is