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Find a 2 X 2 matrix A such that one solution to x' = Ax is x(t) = (e²te-t, e²t + 2e-t).

Find a 2 X 2 matrix A such that one solution to x' = Ax is x(t) = (e²te-t, e²t + 2e-t).

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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Question about: LINE SYSTEMS: CONSTANT COEFFICIENTS, REAL EIGENVALUES

The answer has been given, please prove the process

2. Find a 2 X 2 matrix A such that one solution to x' = Ax is x (t) (et — e—', et + 2e–t). * a -[ ] 0. 2. A =।
Transcribed Image Text:2. Find a 2 X 2 matrix A such that one solution to x' = Ax is x (t) (et — e—', et + 2e–t). * a -[ ] 0. 2. A =।
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