I tried using undetermined coefficients to solve this problem, but I know that I am missing something and i cannot find any reference material on this. If you help me, thank you.(adsbygoogle = window.adsbygoogle || []).push({});

The homogeneous equation for the system is:

y'=A*y

wherey= [tex] \left[ \begin{array}{c} y_1 \\ y_2 \end{array} \right] [/tex]

andA= [tex] \left[ \begin{array}{cc} -2 & 1 \\ -1 & 0 \end{array} \right] [/tex]

I end up with only one eigenvector of course, and I'm trying to use a solution that ends up as C1*V*[tex] e^t[/tex] + c2*V*[tex] t*e^t [/tex] where V is the only eigenvector of A, but that is not a complete solution.

What am I missing?

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# System of Differential equations with a singular coefficient matrix, help?

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