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A linear system of differential equations

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Solve the linear homogenous system x' =Ax give by

(x') = ( 5 -1)(x)
(y') = ( 3 1)(y)

under the initial conditions (x,y) at t=0 is (2 -1)

By determining the following:
(a) The eigenvalues of A
(b) The eigenvectors of A
(c) Write the general solution of x' =Ax

Please show all steps to solution.


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Solution Summary

The 5-pages solution shows (with full explanations and derivatiations) how to solve a system of two first order differential equations with initial conditions.