P4, 50pts, method of multiple scales. Find a first-term expansion of the solutions of the following problems that is valid for large t. Hint: for (a), you might like to use complex exponentials; see the written notes from class. (a, 20pts) y" + €(y')³ + y = 0 for t > 0 and y(0) = 0, y'(0) = 1 = (b, 30pts) ey" + y + y = 0 for t > 0 and y(0) = 0, y(0) 1 Note: something very special happens here. The payoff is huge and I hope you'll try it!
P4, 50pts, method of multiple scales. Find a first-term expansion of the solutions of the following problems that is valid for large t. Hint: for (a), you might like to use complex exponentials; see the written notes from class. (a, 20pts) y" + €(y')³ + y = 0 for t > 0 and y(0) = 0, y'(0) = 1 = (b, 30pts) ey" + y + y = 0 for t > 0 and y(0) = 0, y(0) 1 Note: something very special happens here. The payoff is huge and I hope you'll try it!
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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Transcribed Image Text:P4, 50pts, method of multiple scales. Find a first-term expansion of the solutions of
the following problems that is valid for large t. Hint: for (a), you might like to use
complex exponentials; see the written notes from class.
(a, 20pts) y" + €(y')³ + y = 0 for t > 0 and y(0) = 0, y'(0) = 1
=
(b, 30pts) ey" + y + y = 0 for t > 0 and y(0) = 0, y(0) 1 Note: something very
special happens here. The payoff is huge and I hope you'll try it!
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