Solve the differential equation. not laplace

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the differential equation. not laplace.
1-11
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
all details.
1. y' + 5.2y 19.4 sin 2t, y(0) = 0
2. y'+2y 0, y(0) = 1.5
3. y" - y' - 6y = 0, y(0) = 11, y'(0) = 28
4. y" + 9y = 10e, y(0) = 0, y'(0) = 0
5. y" - ły = 0, y(0) = 12, y'(0) = 0
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Transcribed Image Text:1-11 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 all details. 1. y' + 5.2y 19.4 sin 2t, y(0) = 0 2. y'+2y 0, y(0) = 1.5 3. y" - y' - 6y = 0, y(0) = 11, y'(0) = 28 4. y" + 9y = 10e, y(0) = 0, y'(0) = 0 5. y" - ły = 0, y(0) = 12, y'(0) = 0 %3D %3D %3D %3D %3D %3D %3D %3D %3D |
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