Verify that `y^(2) = 4(1-x^(2))` is a solution of the differential equation `xy y' + x(y')^(2) - y y' = 0`

Similar Questions

Explore conceptually related problems

The solution of the differential equation xy' = 2xe^(-y//x) + y is

Verify that y = e^(-2x) is a solution of the differential equation y'' + 4y'' - 3y' - 2y = 0 .

Verify that y = e^(-2x) is a solution of the differential equation y''' + 4y'' + 3y' - 2y = 0 .

Verify that ax^(2)+by^(2)=1 is a solution of the differential equation x(xy_(2)+y_(1)^(2))=y y_(1) .

Show that y = (cos^(-1) x)^(2) is a solution of the differential equation . (1-x^(2))y '' - xy' - 2 = 0

The solution of the differential equation xy'=2xe^(-y//x)+y is

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

Verify that y=4sin3x is a solution of the differential equation (d^2y)/(dx^2)+9y=0.

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