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Solve the system X'=AX 3 0. X' = 1 -1 0. 1 3 0. e 3t + C2 = -2t + C3 te -2t X C1 0. 1 1 0. 0 est + C2 = 1 -2t e + C3 te X C1 0. est + C2 = e2t + C3 te2t + e2t X C1 0. 1 0. 1 0. e2t +C3 te2t + e2t X = C1 -3t + C2 = 1

Solve the system X'=AX 3 0. X' = 1 -1 0. 1 3 0. e 3t + C2 = -2t + C3 te -2t X C1 0. 1 1 0. 0 est + C2 = 1 -2t e + C3 te X C1 0. est + C2 = e2t + C3 te2t + e2t X C1 0. 1 0. 1 0. e2t +C3 te2t + e2t X = C1 -3t + C2 = 1

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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Solve the system X' =AX 3 0 X' = 1 -1 X 0 1 3 ()- -2t X = C1 -3t + C2 +C3 te 2t -2t e 0. () 1 X = C1 -2t +C3 0. est + C2 = te + 2t 2t 0. -1 () X = C1 0. est + C2 e2t + C3 tet + e2t 1 1 1 -1 0. 0. X = C1 -3t +C2 = e2t + C3 te?t e2t 1 1
Transcribed Image Text:Solve the system X' =AX 3 0 X' = 1 -1 X 0 1 3 ()- -2t X = C1 -3t + C2 +C3 te 2t -2t e 0. () 1 X = C1 -2t +C3 0. est + C2 = te + 2t 2t 0. -1 () X = C1 0. est + C2 e2t + C3 tet + e2t 1 1 1 -1 0. 0. X = C1 -3t +C2 = e2t + C3 te?t e2t 1 1
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