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Reach: Give an example of a linear system that does not have two straight line solutions in the phase plane. You can write out the full equations or present the system in matrix form. Support your answer with evidence showing how your example qualifies as such.

Reach: Give an example of a linear system that does not have two straight line solutions in the phase plane. You can write out the full equations or present the system in matrix form. Support your answer with evidence showing how your example qualifies as such.

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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Solve the part that i highlight by red pen (reach)
(5) Find the particular solution passing through the point (1,8) at t = 0. Use your work from the last two parts! How does this solution behave as t- oo? Reach: Give an example of a linear system that does not have two straight line solutions in the phase plane. You can write out the full equations or present the system in matrix form. Support your answer with evidence showing how your example qualifies as such.
Transcribed Image Text:(5) Find the particular solution passing through the point (1,8) at t = 0. Use your work from the last two parts! How does this solution behave as t- oo? Reach: Give an example of a linear system that does not have two straight line solutions in the phase plane. You can write out the full equations or present the system in matrix form. Support your answer with evidence showing how your example qualifies as such.
Consider the spring-mass system x = x-4y y' = -5x (1) Find the individual straight line (fundamental) solutions for any lines that appear in the phase plane. You may use any methods we discussed in class. (2) Write the general solution to the system. (3) Find the particular solution passing through point (2,-2) at t= 0. Don't do more work than you need to! How does this solution behave as t- oo? (4) Find the particular solution passing through point (4,5) at t 0. Don't do more work than you need to! How does this solution behave as t- oo?
Transcribed Image Text:Consider the spring-mass system x = x-4y y' = -5x (1) Find the individual straight line (fundamental) solutions for any lines that appear in the phase plane. You may use any methods we discussed in class. (2) Write the general solution to the system. (3) Find the particular solution passing through point (2,-2) at t= 0. Don't do more work than you need to! How does this solution behave as t- oo? (4) Find the particular solution passing through point (4,5) at t 0. Don't do more work than you need to! How does this solution behave as t- oo?
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