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

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 (xe^(y//x)+y)dx=xdy , given that y(1)=0 .

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

Find the particular solution of the differential equation: (1+e^2x)dy+(1+y^2)e^xdx=0 , given that y(0)=1

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

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

Find the particular solution of the differential equation (dy)/(dx)=3x , given that y = 0 when x = 0 .