constant coefficients

In Problems 1–10 write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficients. If possible, factor L.
1. 9y” – 4y = sin x 2. y” – 5y = x2 – 2x
3. y” – 4y’ – 12y = x – 6 4. 2y” – 3y’ – 2y = 1
5. y'”+10y” + 25y’ = ex 6. y'” + 4y’ = ex cos 2x
7. y'” + 2y” – 13y’ + 10y = xe–x
8. y'” + 4y” + 3y’ = x2 cos x – 3x
9. y(4) + 8y’ = 4

10. y(4) – 8y” + 16y = (x3 – 2x)e4x