If `y=ae^(2x)+b cos 2x+c sin 2x, ` then

If y = a cos 2x + b sin 2x , then

If y= a cos 2x + b sin 2x , then

If y =a cos 2x +b sin 2x then y _(2) + 4y =

If y = a cos x + (b + 2x ) sin x then y _(2) + y =

If y =a cos x + (b + 2x) sin x then show that y" + y=4 cos x.

If y = a sin x + (5 + 2x) cos x, " then " y'' + y =

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)

If y=a sin 2x+b cos 2x satisfies the equation (d^(2)y)/(dx^(2))=6 sin 2x-cos2x, then (a, b)-=