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Solve the following initial value problems using Laplace transform: 1. y" – 4y' + 3y = 0, y(0) = 3, y'(0) = 7

Solve the following initial value problems using Laplace transform: 1. y" – 4y' + 3y = 0, y(0) = 3, y'(0) = 7

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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Solve the following initial value problems using Laplace transform: 1. y" – 4y' + 3y = 0, y(0) = 3, y'(0) = 7 2. y" + y = 3 cos 2t, y(0) = 0, y'(0) = 0 3. y" – 3y' + 2y = 4t + e3t, y(0) = 1, y'(0) =-1 4. x"(t) – 2x'(t) + 2x(t) = 0, x(0) = 1, x'(0) = 1 5. y" + 2y" + y = sin t, y(0) = y'(0) = y"(0) = y''(0) = 0
Transcribed Image Text:Solve the following initial value problems using Laplace transform: 1. y" – 4y' + 3y = 0, y(0) = 3, y'(0) = 7 2. y" + y = 3 cos 2t, y(0) = 0, y'(0) = 0 3. y" – 3y' + 2y = 4t + e3t, y(0) = 1, y'(0) =-1 4. x"(t) – 2x'(t) + 2x(t) = 0, x(0) = 1, x'(0) = 1 5. y" + 2y" + y = sin t, y(0) = y'(0) = y"(0) = y''(0) = 0
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