x+y(dy)/(dx)=2y

Solve the following initial value problem: x y(dy)/(dx)=y+2,\ y(2)=0

Solve: 2x y(dy)/(dx)=x^2+y^2

Solve the following initial value problem: x y(dy)/(dx)=(x+2)(y+2),\ y(1)=-1

Solve the following differential equations: x y(dy)/(dx)=x^2+y^2

Solve each of the following differential equations y-x(dy)/(dx)=2(y^2+(dy)/(dx)) .

The differential equation of all circles passing through the origin and having their centres on the x-axis is (1) x^2=""y^2+""x y(dy)/(dx) (2) x^2=""y^2+"3"x y(dy)/(dx) (3) y^2=x^2""+"2"x y(dy)/(dx) (4) y^2=x^2""-"2"x y(dy)/(dx)

(2x+y)(dy)/(dx)=x+2y=

Show that the differential equation (x-y)(dy)/(dx)=x+2y

x+y(dy)/(dx) =x^(2) +y^(2)