Given the linear system dt Y, find the two straight line solutions. %3D Assume the first component of your direction vectors is 1. Enter an answer like e-5t as e^(-5t) (1,-2/3). Make sure the FIRST solution has the SMALLER of the two eigenvalues. -3t Straight Line Solution 1: Ÿ,(t) = _e (0,1) Straight Line Solution 2: Y(t) = e l,) Solution 1 Preview: Solution 2 Preview:
Given the linear system dt Y, find the two straight line solutions. %3D Assume the first component of your direction vectors is 1. Enter an answer like e-5t as e^(-5t) (1,-2/3). Make sure the FIRST solution has the SMALLER of the two eigenvalues. -3t Straight Line Solution 1: Ÿ,(t) = _e (0,1) Straight Line Solution 2: Y(t) = e l,) Solution 1 Preview: Solution 2 Preview:
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:38
Given the linear system
two straight
line solutions.
dt
Assume the first component of your direction vectors is 1. Enter an answer like e
1
as e^(-5t)
5t
(1,-2/3).
Make sure the FIRST solution has the SMALLER of the two eigenvalues.
Straight Line Solution 1: Y (t) =
-3t
e
(0,1)
Straight Line Solution 2: Y2(t) = e l,8)
Solution 1 Preview:
Solution 2 Preview:
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