from the differential equation by eliminating the arbitrary constants from the following equations :
`(1) y= e^(x) (A cos x + B sin x)`

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

Obtain the differential equation by eliminating the arbitrary constants from the following equation.(i) y=Ae^(3x)+Be^(-3x)

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