Question

Find a ﬁrst-term expansion which is valid to t ∼ O(1). \epsi y 00 + \epsi y 0 + y = cos(t), for t > 0, where y(0) = 0 and y 0 (0) = 0. (hint: consider the time scales at O( √ \epsi ) and O(1)).

Name: find a first term expansion which is valid to t o1 epsi y 00 epsi y 0 y cost for t 0 where y0 0 and y 0 0 0 hint consider the time scales at o epsi and o1 42506
Uploaded: 2023-01-08T12:40:29-08:00
Duration: 4 min 31 s
Channel: Sri K
Description: find a first term expansion which is valid to t o1 epsi y 00 epsi y 0 y cost for t 0 where y0 0 and y 0 0 0 hint consider the time scales at o epsi and o1 42506

          Find a ﬁrst-term expansion which is valid to t ∼ O(1).
\epsi y
00 + \epsi y
0 + y = cos(t), for t > 0, where y(0) = 0 and y
0
(0) = 0.
(hint: consider the time scales at O(
√
\epsi ) and O(1)).

Added by Susan R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Solved by Expert Sri K

01/08/2023

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Find a ﬁrst-term expansion which is valid to t ∼ O(1). \epsi y 00 + \epsi y 0 + y = cos(t), for t > 0, where y(0) = 0 and y 0 (0) = 0. (hint: consider the time scales at O( √ \epsi ) and O(1)).