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    Linear system of differential equations

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    Please show all steps to solution (see attached).

    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.