Find the particular solution of the differential equation `(xe^(y//x)+y)dx=xdy`, given that `y(1)=0`.

Find the particular solution of the differential equation (xe^(y/x)+y)dx=xdy, y = 1 when x = 1.

Find the particular solution of the differential equation xe^((y)/(z))-y+x(dy)/(dx)=0, given that y(e)=0

Find the particular solution of the differential equation e^((dy)/(dx))=a , given that y=1 when x=0.

Find the particular4solution of the differential equation (x-y)(dy)/(dx)=x+2y, given that when x=1,y=0

Find the particular solution of the differential equation (dy)/(dx) = 1+x+y+xy, given that y = 0 when x = 1.

Find the particular solution of the differential equation (x-y)(dy)/(dx)=x+2y ,\ given that when x=1,\ y=0.

Find the particular solution of the differential equation (dy)/(dx)=1+x+y+xy given that y=0 when x=1.