differential operator

differential operator

In Problems 11–14 verify that the given differential operator annihilates the indicated functions.
11. D4; y= 10×3 – 2x 12. 2D – 1; y = 4ex/2
13. (D – 2)(D + 5); y = e2x+ 3e–5x

14. D2 + 64; y = 2 cos 8x – 5 sin 8x