Solve the IVPS by the Laplace transform. If necessary, use partial fraction expansion as in Example 4 of the text. Show all details. 1. y' + 5.2y = 19.4 sin 21, y(0) = 0
Solve the IVPS by the Laplace transform. If necessary, use partial fraction expansion as in Example 4 of the text. Show all details. 1. y' + 5.2y = 19.4 sin 21, y(0) = 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Now i --m. sin 7-
(sin- cos r), so
PROBLEM SET 6.2
-11 INITIAL VALUE PROBLEMS (IVPS)
Solve the IVPS by the Laplace transform. If necessary, use
partial fraction expansion as in Example 4 of the text. Show
Sol
the
all details.
12.
1. y' + 5.2y = 19.4 sin 21, y(0) = 0
2. y' + 2y = 0, y(0) = 1.5
3. y" - y - 6y = o, y(0) 11, y'(0) = 28
4. y" + 9y = 10e, y(0) = 0,
5. y" - ły = 0, y(0) = 12, y'(0) = 0
6. y" - 6y' + 5y = 29 cos 21, y(0) - 3.2,
y'(0) = 6.2
7. y" + 7y' + 12y 21", y(0) = 3.5,
y'(0) = - 10
8. y" - 4y' + 4y = 0, y(0) = 8.1, y'(0) = 3.9
9. y" - 4y' + 3y = 6t - 8. y(0) = 0, y'(o) = 0
10. y" + 0.04y = 0.02/, y(0) = -25. y'o) 0
11. y" + 3y' + 2.25y 91 + 64, y(0) = 1,
y'(0) = 31.5
13.
14.
y'(0) = 0
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