linear differential operator

linear differential operator

In Problems 15–26 find a linear differential operator that annihilates the given function.
15. 1 + 6x – 2×3 16. x3(1 – 5x)
17. 1 + 7e2x 18. x + 3xe6x
19. cos 2x 20. 1 + sin x
21. 13x + 9×2 – sin 4x 22. 8x – sin x + 10 cos 5x
23. e–x+ 2xex – x2ex 24. (2 – ex)2

25. 3 + ex cos 2x 26. e-xsin x – e2xcos x