(p.632/#1-4, 7, 9, 13, 15, 16, 19, 21, 26) Use the Laplace Transform to solve the IVP (Initial-Value Problem). 13. y +y 8e, y(0) = 2. 14. y +3y = 2e-, y(0) = 3. 15. y+2y = 4t, y(0) = 1. 16. y-y 6 cos t, y(0) = 2. 17. y" + y- 2y = 0, y(0) = 1, y(0) = 4. 18. y"-3y +2y = 4, y(0) = 0, y (0) = 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(p.632/#1-4, 7, 9, 13, 15, 16, 19, 21, 26) Use the Laplace Transform to solve the IVP
(Initial-Value Problem).
13. y + y = 8e", y(0) = 2.
14. y+3y = 2et, y(0) = 3.
15. y' + 2y = 4t, y(0) = 1.
%3D
16. y-y 6 cos t, y(0) = 2.
17. y" + y - 2y =0, y(0) = 1, y (0) = 4.
%3D
18. y"-3y +2y = 4, y(0) = 0, y'(0) 1.
Transcribed Image Text:(p.632/#1-4, 7, 9, 13, 15, 16, 19, 21, 26) Use the Laplace Transform to solve the IVP (Initial-Value Problem). 13. y + y = 8e", y(0) = 2. 14. y+3y = 2et, y(0) = 3. 15. y' + 2y = 4t, y(0) = 1. %3D 16. y-y 6 cos t, y(0) = 2. 17. y" + y - 2y =0, y(0) = 1, y (0) = 4. %3D 18. y"-3y +2y = 4, y(0) = 0, y'(0) 1.
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