Consider the homogeneous system of linear ordinary differential equations /30+ a Х. dX -3 dt 30+ a -5 Нere a is the рarameter. A Find all values of parameter a such that the phase portrait of this system is spiral source. В Find all values of parameter a such that the phase portrait of this system is spiral source and rotation is clockwise. Find all values of parameter a such that the equilibrium solution to this system X(t) = (0,0) is asymptotically stable.

Consider the homogeneous system of linear ordinary differential equations /30+ a Х. dX -3 dt 30+ a -5 Нere a is the рarameter. A Find all values of parameter a such that the phase portrait of this system is spiral source. В Find all values of parameter a such that the phase portrait of this system is spiral source and rotation is clockwise. Find all values of parameter a such that the equilibrium solution to this system X(t) = (0,0) is asymptotically stable.

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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