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5-1. y" - 4y + 4y = t³e²t, y(0) = 0, y'(0) = 0

5-1. y" - 4y + 4y = t³e²t, y(0) = 0, 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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5-1. y" - 4y + 4y = t³e2t, y(0) = 0, y'(0) = 0 5-2. y" + 2y' + y = 0, y(1) = 2, y'(0) = 2 5-3. y" + 5y' +6y= 5-4. y" + 2y' + 5y = u(tn) cost + 8(t - π/2), y(0) = 0, y'(0) = 0 50t-100, y(2) = -4 y' (2) = 14
Transcribed Image Text:5-1. y" - 4y + 4y = t³e2t, y(0) = 0, y'(0) = 0 5-2. y" + 2y' + y = 0, y(1) = 2, y'(0) = 2 5-3. y" + 5y' +6y= 5-4. y" + 2y' + 5y = u(tn) cost + 8(t - π/2), y(0) = 0, y'(0) = 0 50t-100, y(2) = -4 y' (2) = 14
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