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1. Find the general solution to the system y' = Ay, where A is equal to: 4 0 1 -3 b) 3 1 81 -1 0 -1

1. Find the general solution to the system y' = Ay, where A is equal to: 4 0 1 -3 b) 3 1 81 -1 0 -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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Please do question c. Answer is provided.
1. Find the general solution to the system y' = Ay, where A is equal to: - (:) b) d) 4 0 -2 1 -3 -10 3 1 0 -(:) 0 1 Final Answers: h) 3 e) 12 (33) 4 -3 20 0 2 -1 1 00 f) -1 i) 1 -1 (1) 10 0 0 0 -1 0 1 0
Transcribed Image Text:1. Find the general solution to the system y' = Ay, where A is equal to: - (:) b) d) 4 0 -2 1 -3 -10 3 1 0 -(:) 0 1 Final Answers: h) 3 e) 12 (33) 4 -3 20 0 2 -1 1 00 f) -1 i) 1 -1 (1) 10 0 0 0 -1 0 1 0
Final Answers: a) y = C₁ b) y = C₁ c) y = C₁ Czest ·()*(-)- est + C₂ d) y = C₁est + C₂ 5 - ()--~(0) --- ()--) + (1) sin COS -4 (1)-(~)-(-)-()). √15 -3t 2 2 31 15 0 ((-)-(-)-(-)-()) -t + √15 COS sin 15 2 2
Transcribed Image Text:Final Answers: a) y = C₁ b) y = C₁ c) y = C₁ Czest ·()*(-)- est + C₂ d) y = C₁est + C₂ 5 - ()--~(0) --- ()--) + (1) sin COS -4 (1)-(~)-(-)-()). √15 -3t 2 2 31 15 0 ((-)-(-)-(-)-()) -t + √15 COS sin 15 2 2
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