17. 2y" + 5y' + 3y = 0, y(0) = 3, y'(0) = -4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
17-24 I Solve the initial-value problem.
17. 2у" + 5y' + Зу %3D 0, у(0) %3D 3, у(0)
-4
18. у" + Зу — 0, у(0) — 1, у(0) — 3
19. 4y" — 4y' + у %3D 0, у(0) %3D 1, у(0) 3 — 1.5
У (0) 3 - 1.5
20. 2y" + 5y' - Зу 3 0, у(0) %3D 1, у'(0) — 4
21. у" + 16у %3 0, у(т/4) — — 3, у(п/4) 3 4
22. y" — 2y' + 5у — 0, у(т) — 0, у'(п) — 2
23. y" + 2y' + 2у 3 0, у(0) — 2, у(0) — 1
24. у" + 12y' + 36у 3 0,
у(1) — 0, у(1) — 1
Transcribed Image Text:17-24 I Solve the initial-value problem. 17. 2у" + 5y' + Зу %3D 0, у(0) %3D 3, у(0) -4 18. у" + Зу — 0, у(0) — 1, у(0) — 3 19. 4y" — 4y' + у %3D 0, у(0) %3D 1, у(0) 3 — 1.5 У (0) 3 - 1.5 20. 2y" + 5y' - Зу 3 0, у(0) %3D 1, у'(0) — 4 21. у" + 16у %3 0, у(т/4) — — 3, у(п/4) 3 4 22. y" — 2y' + 5у — 0, у(т) — 0, у'(п) — 2 23. y" + 2y' + 2у 3 0, у(0) — 2, у(0) — 1 24. у" + 12y' + 36у 3 0, у(1) — 0, у(1) — 1
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