(b) 9₁ = -8y₁ - 2y2 y2 = y₁ - 4y2 e-6t + c₂te-6t and y2 = -c₁e6t+c₂(t+1) e-6t) (solution y₁ =
(b) 9₁ = -8y₁ - 2y2 y2 = y₁ - 4y2 e-6t + c₂te-6t and y2 = -c₁e6t+c₂(t+1) e-6t) (solution y₁ =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Solve part b.
Transcribed Image Text:1. Find the general solution of the following systems. Show your calculations clearly
(a)
(b)
y₁ = 6y₁ +9y2
(solution y₁ = 3c₁e³ +3c₂e⁹t and y₂ = −c₁e³t+c₂e⁹t)
y2
y2 = y₁ + 6y2
y₁ = -8y₁ - 2y2
y2 = y₁ - 4y2
(solution y₁=c₁e6t + c₂te-6t and y₂ = −₁е¯6t+c₂(t+1)e-6t)
y2
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