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lease do prob 2

lease do prob 2

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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Please do prob 2

1. If the general solution for a system of differential equations of the form dx ax + by %3D dy dt cx + dy r(t) () = kie-2t () 2 + k2e- 1 4 what do solutions in phase plane look like? What do solutions that are not straight lines look like? Do they curve a particular way? Figure out a way to use the general solution (without technology) to decide. Explain and graph your ideas. 2. Repeat problem 1 for the general solution (8) = khe ( x(t) y(t) + kze3t 3. Repeat problem 1 for the general solution () = kje" C) + kze-2t -3 2 is
Transcribed Image Text:1. If the general solution for a system of differential equations of the form dx ax + by %3D dy dt cx + dy r(t) () = kie-2t () 2 + k2e- 1 4 what do solutions in phase plane look like? What do solutions that are not straight lines look like? Do they curve a particular way? Figure out a way to use the general solution (without technology) to decide. Explain and graph your ideas. 2. Repeat problem 1 for the general solution (8) = khe ( x(t) y(t) + kze3t 3. Repeat problem 1 for the general solution () = kje" C) + kze-2t -3 2 is
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