(y-x)dy-(y^(2)-x^(2))dx=0;y=-(1+x)

Verify that y=-x-1 is a solution of the differential equation (y-x)dy-(y^(2)-x^(2))dx=0

Verify that the given function is a solution of the differential equation: (y-x)dy-(y^2-x^2)dx=0 , y=-x-1 .

Verify that y=-x-1 is a solution of the differential equation (y-x)dy-(y^2-x^2)dx=0.

(x^(2)+x)dx+(y^(2)-y)dy=0

y(1-x^(2))dy=x(1+y^(2))dx

Solution of the differential equation {(1)/(x)-(y^(2))/((x-y)^(2))}dx+{(x^(2))/((x-y)^(2))-(1)/(y)}dy=0

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

y dx+(x-y^2)dy=0

Solve: x(1-x^2)dy+(2x^2y-y-5x^3)dx=0 .