" 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=log x+c is a solution of the differential equation x d^2y/dx^2+dy/dx=0

Solution of the differential equation y dx+(x-y^(2))dy=0 is

Solution of the differential equation (x+y-1)dx+(2x+2y-3)dy=0 is

Solution of the differential equation (x+y-1)dx+(2x+2y-3)dy=0 is

The solution of the differential equation y^(2)dx- x^(2)dy = 0 is

Verify that y=a/x+b is a solution of the differential equation (d^(2)y)/(dx^(2))+2/x((dy)/(dx))=0.

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

Verify that y^2=4a x is a solution of the differential equation y=x(dy)/(dx)+a(dx)/(dy) .