Form the differential equations by eliminating the arbitrary constants from the following equations :
` (1) (x-a)^(2) + y^(2) =1 `

Form the differential equations by eliminating the arbitrary constants from the following equations : 1. (1) xy = Ae^(x) + Be^(-x) + x^(2) (2) y= e^(-x) (A cos 2x + B sin 2x)

Form the differential equation by eliminating the arbitrary constant from the equation y = a cos (2x + b)

Obtain the differential equation by eliminating the arbitrary constants from the following equation : y = c_(1) e^(2 x) + c_(2) e^(-2x).

Form the differential equation by eliminating the arbitrary constant from the equation y = ax^(3) + bx^(2)