(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 too?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve 3 and 4 part only in 30 min plz
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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