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).
