Chapter 4.7, Problem 13P

In each of Problems 10 through 13, use the method of variation of parameters to find a particular solution of the given differential equation. Then check your answer by using the method of undetermined coefficients.

$4y\text{'}\text{'}-4y\text{'}+y=16e^{t/2}$     (Compare with Problem 10 in Section 4.5.)

10. $4y\text{'}\text{'}-4y\text{'}+y=16e^{t/2}$     (Compare with Problem 13 in Section 4.7.)