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4. Use the Laplace transform to solve the initial value problems. (a) y" + 3y + 2y = 0; y (0) = 1, y'(0) 0 (b) y' +6y=e¹t; y(0) = 2 (c) y" + 2y + 5y = 0; y(0)2, y'(0) = =-1 (d) ty"+y+ty=0; y(0) = 1, y/(0) = 0

4. Use the Laplace transform to solve the initial value problems. (a) y" + 3y + 2y = 0; y (0) = 1, y'(0) 0 (b) y' +6y=e¹t; y(0) = 2 (c) y" + 2y + 5y = 0; y(0)2, y'(0) = =-1 (d) ty"+y+ty=0; y(0) = 1, y/(0) = 0

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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4. Use the Laplace transform to solve the initial value problems. (a) y" + 3y + 2y = 0; y (0) = 1, y'(0)=0 (b) y' +6y=e¹t; (c) y" + 2y + 5y = 0; y(0)2, (d) ty"+y+ty=0; y(0) = 1, y (0) = 2 y'(0) = = -1 y' (0) = 0
Transcribed Image Text:4. Use the Laplace transform to solve the initial value problems. (a) y" + 3y + 2y = 0; y (0) = 1, y'(0)=0 (b) y' +6y=e¹t; (c) y" + 2y + 5y = 0; y(0)2, (d) ty"+y+ty=0; y(0) = 1, y (0) = 2 y'(0) = = -1 y' (0) = 0
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