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3. Consider the constant coefficient homogeneous linear system i = Ax, where -3 A = -2 The eigenvalues of A are A1 = -3 and A2 = -5 with corresponding eigenvectors %3D -() V1 = and V2 = Provide two linearly independent solutions verifying your answer and find the general solu- tion. Sketch the phase portrait and determine the nature and stability of the critical point.

3. Consider the constant coefficient homogeneous linear system i = Ax, where -3 A = -2 The eigenvalues of A are A1 = -3 and A2 = -5 with corresponding eigenvectors %3D -() V1 = and V2 = Provide two linearly independent solutions verifying your answer and find the general solu- tion. Sketch the phase portrait and determine the nature and stability of the critical point.

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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3. Consider the constant coefficient homogeneous linear system i = Ax, where - (1) A = The eigenvalues of A are A1 = -3 and A2 = -5 with corresponding eigenvectors %3D V1 = and v2 = Provide two linearly independent solutions verifying your answer and find the general solu- tion. Sketch the phase portrait and determine the nature and stability of the critical point.
Transcribed Image Text:3. Consider the constant coefficient homogeneous linear system i = Ax, where - (1) A = The eigenvalues of A are A1 = -3 and A2 = -5 with corresponding eigenvectors %3D V1 = and v2 = Provide two linearly independent solutions verifying your answer and find the general solu- tion. Sketch the phase portrait and determine the nature and stability of the critical point.
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