Construct the general solution of x' = Ax involving complex eigenfunctions and then obtain the general real solution. Describe the shapes of typical trajectories. 5 -2 A= 10 Choose the correct general solution of x' = Ax involving complex eigenfunctions below. -2 O A. C1 10 - 3 -2 5t - 3t O B. C1 2- (1-2i)t О с. С1 5+ -2 (1+21)t 10 2 iyt OD. C1 -3-i Choose the correct general real solution below. 2 cos (21) - sin (21) 2 sin (2t) + cos (2t) A. C4 5 cos (21) 5 sin (21) 2 cos (21) 2 i sin (21) + i cos (21) - sin (21) В. С, 5 cos (21) - 5i sin (21) -2 С. С1 10 -3 -2 5t+ -3t D. C1 The trajectories 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. 5 -2 A= 10 Choose the correct general solution of x' = Ax involving complex eigenfunctions below. -2 O A. C1 10 - 3 -2 5t - 3t O B. C1 2- (1-2i)t О с. С1 5+ -2 (1+21)t 10 2 iyt OD. C1 -3-i Choose the correct general real solution below. 2 cos (21) - sin (21) 2 sin (2t) + cos (2t) A. C4 5 cos (21) 5 sin (21) 2 cos (21) 2 i sin (21) + i cos (21) - sin (21) В. С, 5 cos (21) - 5i sin (21) -2 С. С1 10 -3 -2 5t+ -3t D. C1 The trajectories the origin.
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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Question
For the final part of the question choose between the three options on whether:
The trajectories
a) spiral outward from
b) spiral inward toward
c) form ellipses around
the origin.
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