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a. Find the most general real-valued solution to the linear system of differential equations a x₁(t) T2(t) = C1 6(sqrt(-1))*e^((-4+6(s e^((-4+6(sqrt(-1)))t) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses spiral source spiral sink none of these 1 + c₂ [1 -36 -6(sqrt(-1))*e^((-4-6(: 1e^((-4-6(sqrt(-1)))t)

a. Find the most general real-valued solution to the linear system of differential equations a x₁(t) T2(t) = C1 6(sqrt(-1))*e^((-4+6(s e^((-4+6(sqrt(-1)))t) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses spiral source spiral sink none of these 1 + c₂ [1 -36 -6(sqrt(-1))*e^((-4-6(: 1e^((-4-6(sqrt(-1)))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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a. Find the most general real-valued solution to the linear system of differential equations a x₁(t) T2(t) = C1 6(sqrt(-1))*e^((-4+6(s e^((-4+6(sqrt(-1)))t) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses spiral source spiral sink none of these 1 + c₂ [1 -36 -6(sqrt(-1))*e^((-4-6(: 1e^((-4-6(sqrt(-1)))t)
Transcribed Image Text:a. Find the most general real-valued solution to the linear system of differential equations a x₁(t) T2(t) = C1 6(sqrt(-1))*e^((-4+6(s e^((-4+6(sqrt(-1)))t) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses spiral source spiral sink none of these 1 + c₂ [1 -36 -6(sqrt(-1))*e^((-4-6(: 1e^((-4-6(sqrt(-1)))t)
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