Solve `2y e^(x//y)dx+(y-2x e^(x//y))dy=0`

Show that the differential equation 2y e^(x/y)dx+(y-2x e^(x/y))dy=0 is homogeneous and find its particular solution, given that, x" "=" "0 wheny" "=" "1 .

Solve (1+2e^(x/y))dx+2e^(x/y)(1-x/y)dy=0

Solve: (1+2e^(x/y))dx+2e^(x/y)(1-x/y)dy=0

Solve (1+2e^(x//y))dx+2e^(x//y)(1-x//y)dy=0.

Solve the differential equation : y e^(x//y)dx=(x e^(x//y)+y^(2))dy(y != 0) .

Solve the following initial value problems : y e^(y)dx=(y^(3)+2x e^(y))dy, y(0)=1 .

Solve : e^(y)dx+e^(x)dy=0 .

Solve (1+e^((x)/(y)))dx + e^((x)/(y)) (1-(x)/(y))dy = 0

Show that the differential equation (1+e^(x//y))dx+e^(x//y)(1-x/y)dy=0 is homogenous and solve it.