## Description

Homework #6 Math 527

Follow the usual instructions on homework submission: Be clear, legible, and organized.

Write on loose-leaf paper. Staple together in the left-hand corner, write your name,

section #, Math 527 HW6, and date in the upper-right-hand corner.

Use Laplace transforms to solve the initial value problems.

1. y

0 − y = 1, y(0) = 0

2. y

0 + 6y = e

4t

, y(0) = 2

3. y

00 + 5y

0 + 4y = 0, y(0) = 1, y0

(0) = 0

4. y

00 + y =

√

2 sin √

2t, y(0) = 10, y0

(0) = 0

5. y

00 − 6y

0 + 9y = t, y(0) = 0, y0

(0) = 1

6. y

00 − 4y

0 + 4y = te2t

, y(0) = 0, y0

(0) = 0

These problems are Zill 7.2 exercises 31, 33, 35, 37, and 7.3 exercises 25, 24 (modified).