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Linear system of differential equations

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|


Solution Summary

This provides an example of solving a linear system of differential equations by finding eigenvalues, eigenvectors, and general solution.