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Solve y" - 3y + 2y = et sint

Solve y" - 3y + 2y = et sint

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 y" - 3y + 2y = et sint O y = C1e^t + C2e^2t + (1/2)e^t sint + (1/2)e^t cost O y = C1e^t + C2e^2t -(1/2)e^t sint + (1/2)e^t cost O y = Cle^-t + C2e^2t -(1/2)e^t sint + (1/2)e^t cost O y = C1e^t + C2e^2t -(1/2)e^t sint - (1/2)e^t cost
Transcribed Image Text:Solve y" - 3y + 2y = et sint O y = C1e^t + C2e^2t + (1/2)e^t sint + (1/2)e^t cost O y = C1e^t + C2e^2t -(1/2)e^t sint + (1/2)e^t cost O y = Cle^-t + C2e^2t -(1/2)e^t sint + (1/2)e^t cost O y = C1e^t + C2e^2t -(1/2)e^t sint - (1/2)e^t cost
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