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A = 1 with v1 and d = -1 with ig =I: Write the solution to the linear system i' = Ař in the following forms. A. In eigenvalue/eigenvector form: -2 -4 B. In fundamental matrix form: |-2e^(1"t) 1e^(-1"t) 1e^(1*t) -4e^(-1*t) C. As two equations: (write "c1" and "c2" for c, and c2 ) x(t)

A = 1 with v1 and d = -1 with ig =I: Write the solution to the linear system i' = Ař in the following forms. A. In eigenvalue/eigenvector form: -2 -4 B. In fundamental matrix form: |-2e^(1"t) 1e^(-1"t) 1e^(1*t) -4e^(-1*t) C. As two equations: (write "c1" and "c2" for c, and c2 ) x(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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As two equations: (write "c1" and "c2" for c1c1 and c2c2  for x(t) and y(t)

A = 1 with 7, = and A, = -1 with v2 = Write the solution to the linear system r' = Ar in the following forms. A. In eigenvalue/eigenvector form: (8.0189 -2 t = C + C2 e -4 e B. In fundamental matrix form: -2e^(1*t) 1e^(-1*t) 1e^(1*t) -4e^(-1*t) C. As two equations: (write "c1" and "c2" for c1 and c2 ) x(t) = ult)
Transcribed Image Text:A = 1 with 7, = and A, = -1 with v2 = Write the solution to the linear system r' = Ar in the following forms. A. In eigenvalue/eigenvector form: (8.0189 -2 t = C + C2 e -4 e B. In fundamental matrix form: -2e^(1*t) 1e^(-1*t) 1e^(1*t) -4e^(-1*t) C. As two equations: (write "c1" and "c2" for c1 and c2 ) x(t) = ult)
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