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2. Given the system 1 10 X'=(- ¹2) X 1 (a) Write the general solution. (b) Classify the critical (equilibrium) point (0,0). (c) Sketch the phase portrait. Make sure you include the straight-line (eigendirection) solutions and at least two other trajectories.

2. Given the system 1 10 X'=(- ¹2) X 1 (a) Write the general solution. (b) Classify the critical (equilibrium) point (0,0). (c) Sketch the phase portrait. Make sure you include the straight-line (eigendirection) solutions and at least two other trajectories.

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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2. Given the system -1 10 X' - ( 1¹2 ) * (a) Write the general solution. (b) Classify the critical (equilibrium) point (0, 0). (c) Sketch the phase portrait. Make sure you include the straight-line (eigendirection) solutions and at least two other trajectories.
Transcribed Image Text:2. Given the system -1 10 X' - ( 1¹2 ) * (a) Write the general solution. (b) Classify the critical (equilibrium) point (0, 0). (c) Sketch the phase portrait. Make sure you include the straight-line (eigendirection) solutions and at least two other trajectories.
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