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.

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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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