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2. Find a first-term expansion which is valid to t ~ 0(1). Ey" + Ey + y = cos(t), for t > 0, where y(0) = 0 and y'(0) = 0. (hint: consider the time scales at O(√) and O(1)).

2. Find a first-term expansion which is valid to t ~ 0(1). Ey" + Ey + y = cos(t), for t > 0, where y(0) = 0 and y'(0) = 0. (hint: consider the time scales at O(√) and O(1)).

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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2. Find a first-term expansion which is valid to t~ 0(1). ey" + ey + y = cos(t), for t > 0, where y(0) = 0 and y' (0) = 0. (hint: consider the time scales at O(√) and O(1)).
Transcribed Image Text:2. Find a first-term expansion which is valid to t~ 0(1). ey" + ey + y = cos(t), for t > 0, where y(0) = 0 and y' (0) = 0. (hint: consider the time scales at O(√) and O(1)).
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