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[25] Find the general solutions of 2y" + 8y' = 5 cot(2t).

[25] Find the general solutions of 2y" + 8y' = 5 cot(2t).

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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Hi, the first image is the question [25], and the other image is the answer. Can you please explain how to get from the question to the given answer?

[25] Find the general solutions of 2y" + 8y' = 5 cot(2t).
Transcribed Image Text:[25] Find the general solutions of 2y" + 8y' = 5 cot(2t).
[25] y(t) = - In | sin(2t)| + cos(2t) In|csc(2t) + cot(2t)| + C₁+C₂ cos(2t) + C3 sin(2t) 16
Transcribed Image Text:[25] y(t) = - In | sin(2t)| + cos(2t) In|csc(2t) + cot(2t)| + C₁+C₂ cos(2t) + C3 sin(2t) 16
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