4. Find two different matrices A, B such that the curve x (t) (et, 2e²t, 4e²t) satisfies both the differential equations x' = Ax and x' = Bx.
4. Find two different matrices A, B such that the curve x (t) (et, 2e²t, 4e²t) satisfies both the differential equations x' = Ax and x' = Bx.
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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ord Diff equations question, please show clear thanks
Transcribed Image Text:4. Find two different matrices A, B such that the curve
x (t) (et, 2e²t, 4e²t)
satisfies both the differential equations
x'
Ax and
x'
= Bx.
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