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6. Solve the given initial value problem using the method of Laplace transforms. (a) y" + 4y = 4t - 4t + 10 y(0) = 0, y (0) = 3 (b) y"- 3/ +2y = cos(t) y(0) 0, v (0) = -1 (b) y"- 2y +y = cos(t)- sin(t) y(0) = 1, y (0) = 3 %3! %3D

6. Solve the given initial value problem using the method of Laplace transforms. (a) y" + 4y = 4t - 4t + 10 y(0) = 0, y (0) = 3 (b) y"- 3/ +2y = cos(t) y(0) 0, v (0) = -1 (b) y"- 2y +y = cos(t)- sin(t) y(0) = 1, y (0) = 3 %3! %3D

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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6. Solve the given initial value problem using the method of Laplace transforms. (a) y" +4y = 4t2 - 4t + 10 y(0) 0, v (0) = 3 (b) y" – 3y + 2y = cos(t) y(0) = 0, (0) = -1 (b) y" - 2y + y = cos(t)- sin(t) y(0) = 1, y (0) = 3 %3D
Transcribed Image Text:6. Solve the given initial value problem using the method of Laplace transforms. (a) y" +4y = 4t2 - 4t + 10 y(0) 0, v (0) = 3 (b) y" – 3y + 2y = cos(t) y(0) = 0, (0) = -1 (b) y" - 2y + y = cos(t)- sin(t) y(0) = 1, y (0) = 3 %3D
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