Construct the general solution of x' = Ax involving complex eigenfunctions and then obtain the general real solution. Describe the shapes of typical trajectories. A = 4:1 6 12 5 15 6 Choose the correct general solution of x' = Ax involving complex eigenfunctions below. +02 ○ A. x(t) = c₁ 12 15 PHP -- - 9t 9t 1 + i 1-i (9+3i)t (9. -3i)t B. x(t) = c₁ +02 5 5 6 12+ i - (9+3i)t ○ c. x(t) = c₁ +02 5 e(9 – 3i)t 15 6-i 1 5 * * ○ D. x(t) = c₁ 5 12t + C21 6t +02 What is the general real solution? Re(x(t)) = Describe the shapes of typical trajectories of Re(x(t)). Choose the correct answer below. The trajectories spiral inward toward from the origin. The trajectories form ellipses around the origin. The trajectories spiral outward from the origin.
Construct the general solution of x' = Ax involving complex eigenfunctions and then obtain the general real solution. Describe the shapes of typical trajectories. A = 4:1 6 12 5 15 6 Choose the correct general solution of x' = Ax involving complex eigenfunctions below. +02 ○ A. x(t) = c₁ 12 15 PHP -- - 9t 9t 1 + i 1-i (9+3i)t (9. -3i)t B. x(t) = c₁ +02 5 5 6 12+ i - (9+3i)t ○ c. x(t) = c₁ +02 5 e(9 – 3i)t 15 6-i 1 5 * * ○ D. x(t) = c₁ 5 12t + C21 6t +02 What is the general real solution? Re(x(t)) = Describe the shapes of typical trajectories of Re(x(t)). Choose the correct answer below. The trajectories spiral inward toward from the origin. The trajectories form ellipses around the origin. The trajectories spiral outward from the origin.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 81E
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