The general solution of the differential...

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

A

(a) `log (x/y)=1/"xy"+k`

B

(b) `log (y/x)=1/"xy"+k`

C

(c) `x/y=e^(xy)+k`

D

(d) `log(x/y)=xy+k`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

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

Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy=0 is

The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

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

The general solution of the differential equation (dy)/(dx)=cot x cot y is

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

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

The general solution of differential equation dy/dx=(x+y)/(x-y) is

The general solution of differential equation (dx) /( dy) = cos (x+y) is