differentiations, simplifications, and algebra

differentiations, simplifications, and algebra

In Problems 46 and 47 find a particular solution of the given differential equation. Use a CAS as an aid in carrying out differentiations, simplifications, and algebra.
46. y” – 4y’ + 8y = (2×2 – 3x)e2xcos 2x + (10×2 – x – 1)e2xsin 2x

47. y(4) + 2y” + y = 2 cos x – 3x sin x