The solution of the differential equatio...

The solution of the differential equation `xdx+ydy+(xdy-ydx)/(x^(2)+y^(2))=0`, is

A

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

B

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

C

(c) `y = x tan((c-x^2-y^2)/2)`

D

(d) None of these

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

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

The solution of the differential equation xdy-ydx=sqrt(x^(2)+y^(2))dx is

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

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

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

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

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