1. Given the system x² = ( 3 − ² ) ** -6-1 3-2 (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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Given the system
x' = ( 3 ₂ ) X
-6 -1
-2
(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:1. Given the system x' = ( 3 ₂ ) X -6 -1 -2 (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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