Verify that the following equations: x1(t)=2et x2(t)=2et+e2t are solutions of the homogeneous system: x'1=x1 x'2=-x1+2x2
Verify that the following equations: x1(t)=2et x2(t)=2et+e2t are solutions of the homogeneous system: x'1=x1 x'2=-x1+2x2
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
Verify that the following equations:
x1(t)=2et
x2(t)=2et+e2t
are solutions of the homogeneous system:
x'1=x1
x'2=-x1+2x2
Please be clear as possible showing and explaining all the steps.
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