(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the solution of the initial value problem.

x'=[3 9; -1 -3]x,x(0)=(2 4)^{T }

2. Relevant equations

A good guess should bex=te^{rt}$+ ert#

3. The attempt at a solution

But ..........

the only root is r=0, which gives me a solutionx^{(1)}(t)= C_{1}(-3 1)^{T}. Using the guess above, stuff goes wrong because I end up with tA$+A#-$=0, which just gives me#=(-3 1)^{T}as well.

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# Another repeated roots problem

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