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2. y" - y' - 2y = 0 : y(0) = -2, y'(0) = 5

2. y" - y' - 2y = 0 : y(0) = -2, y'(0) = 5

Advanced Engineering Mathematics
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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please answer 2 and 5

In Problems 1-14, solve the given initial value probiem using the method of Laplace transforms. 1. у" — 2у + Sy %3D0; v(0) = 2. 2. y" - y' - 2y = 0 : y(0) = -2, 3. y" + 6y' + 9y = 0 ; y(0) = -1, 4. y" + 6y' + 5y = 12e' ; y(0) = -1 5. w" + w = ² + 2 ; w(0) = 1 6. y" - 4y' + 5y = 4e* : y(0) = 2. 7. у" — 7y' + 10у %3D 9 сos t + 7 sin { ; y(0) = 5, y'(0) = 4 y'(0) = 5 y'(0) = 6 y'(0) = 7 w'(0) = -1 %3D %3D y'(0) = 7 %3D y'(0) = -4 %3D
Transcribed Image Text:In Problems 1-14, solve the given initial value probiem using the method of Laplace transforms. 1. у" — 2у + Sy %3D0; v(0) = 2. 2. y" - y' - 2y = 0 : y(0) = -2, 3. y" + 6y' + 9y = 0 ; y(0) = -1, 4. y" + 6y' + 5y = 12e' ; y(0) = -1 5. w" + w = ² + 2 ; w(0) = 1 6. y" - 4y' + 5y = 4e* : y(0) = 2. 7. у" — 7y' + 10у %3D 9 сos t + 7 sin { ; y(0) = 5, y'(0) = 4 y'(0) = 5 y'(0) = 6 y'(0) = 7 w'(0) = -1 %3D %3D y'(0) = 7 %3D y'(0) = -4 %3D
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