Verify that y_p , where y_p(x) = sin 2x, is a solution of the differential equation:
y'' - y = -5 sin 2x. Use this fact to find the general solution of the equation
Proof. y_p(x)=sin2x==>[y_p(x)]'=2cos2x and [y_p(x)]''=-4sin2x
So, [y_p(x)]'' - y_p(x) = -5 sin 2x
A solution to a differential equaiton is verified.