Consider the linear system x'(t) = 1 x(t) defined for t > 0. Verify that the following (G +) 1+] pair of vector-valued functions form a fundamental set of solutions. tet X1(t) = x2(t)
Consider the linear system x'(t) = 1 x(t) defined for t > 0. Verify that the following (G +) 1+] pair of vector-valued functions form a fundamental set of solutions. tet X1(t) = x2(t)
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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![2. Consider the linear system x'(t)
1
2 x(t) defined for t > 0. Verify that the following
- (; +2) 1+]
pair of vector-valued functions form a fundamental set of solutions.
tet
x1(t) = |
X2(t) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4bb06473-3e6d-43c0-bb5d-59856b1f3b13%2F3945ee12-0b1c-48b2-8291-cad608805555%2Fvow07w_processed.png&w=3840&q=75)
Transcribed Image Text:2. Consider the linear system x'(t)
1
2 x(t) defined for t > 0. Verify that the following
- (; +2) 1+]
pair of vector-valued functions form a fundamental set of solutions.
tet
x1(t) = |
X2(t) =
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