Solve the following differential equation: `x[dy]/[dx]sin(y/x)+x-ysin(y/x)=0`

Explanation

`x(V+x*(dv)/(dx))sinv+x-vx*sinv=0`

`xvsinv+x^2sinv*(dv)/(dx)+x-vxsinv=0`

`x^2sinv*(dv)/(dx)+x=0`

`sinv*(dv)/(dx)=-x/x^2`

`sinvdv=-1/xdx`

integrating both side

`cosv=ln|x|+c`

`cosv=ln|x|+c`

...