The following differential equation represents the family of ellipses having foci on x-axis and centre at the origin. xy(y'') + x(y')2 - y(y') = 0 What is the solution of the differential equation?

x2/a + y2/b = 1 x/a2 + y/b2 = 1 x/a + y/b = 1 x2/a2 + y2/b2 = 1

x2/a2 + y2/b2 = 1

Only the following equation represents the equation of an ellipse. x2/a2 + y2/b2 = 1