Linear system of differential equations
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Solve the linear homogenous system x' =Ax given by
=
By determining the following
(a) The eigenvalue(s) of A
(b) The (generalized) eigenvectors of A
(c) The general solution x' =AX
Please remember to calculate the eigenvalue using det |A-λI|.
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Solution Summary
The solution provides an example of solving a linear system of differential equations by finding eigenvalues, eigenvectors, and general solution.
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