Form the differential equation representing the family of curves given by
(x – a)2 + 2y2 = a2, where a is an arbitrary constant 4 Prove that x2 – y2 = c (x2 + y2)2 is the general solution of differential equation
(x3 – 3x y2) dx = (y3 – 3x2y) dy, where c is a parameter 5