I have this DE and I do not know how to solve it. This is a problem in my review questions that my professor handed out, but we have never done a problem like this in class, so I do not know where to start.(adsbygoogle = window.adsbygoogle || []).push({});

here is the problem:

x'' = 4x - 5y

y'' = 2x - 3

I need to solve it using eigenvalues and eigenvectors. I know how to do this for a system of first order DE's, that is easy. But I don't know what to do for a system of second order DE's.

The one method I did come up with for solving it was to convert it to a system of 4 first order DE's...but then the characteristic equation is a fourth degree polynomial. I know there has got to be a better way, but I just dont know it.

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# System of 2 2nd order DE's

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