Solve by the Integrating Factor method: ty' + 2y = 41², t>0

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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Can you show each step of solving? Like the steps I have below to make it easier to understand.

1. Write D.E. in standard form.
2. Find the integrating factor: μ(t) =
3. Multiply both sides of D.E. by μ(t):
4. Rewrite the left-hand side of D.E.: (μ(t) ·y)′=
5. Integrate both sides:
6. Solve for y:

Solve by the Integrating Factor method:
ty' + 2y = 41², t>0
Transcribed Image Text:Solve by the Integrating Factor method: ty' + 2y = 41², t>0
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