Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I'm somewhat new here, only posted a few times, and would like some help from you guys here if possible

I'm stuck with a problem on the topic mentioned.

x'=Ax

A is a 2*2 matrix

A =

[-5 1]

[-1 -3]

Now I managed to find the eigenvalues which is -4, repeated twice (multiplicity 2)

And the eigenvector as well which is

[1]

[1]

Now I'm really confused as to what to do next, I know the equation is e^{-4t}

But I am having trouble deriving the homogenous and particular solutions to the problem.

Would appreciate any input

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# Differential equation with repeated roots

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