This problem, and all the others on this homework assignment, are making me angry.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Find the general solution of the system of equations.

.....

x'=[-3 5/2; -5/2 2]x

2. Relevant equations

Just watch me solve

3. The attempt at a solution

Assume there's a solution x=$e^{rt}, where I'm denoting a vector with constant entries$.

----> (A-rI)=$

----> (A-rI) is singular

----> det(A-rI)=0

---->(-3-r)(2-r)-(-5/2)(5/2)=0

----> r= 1/2

---->(A-(1/2)I)$=(0 0)^{T}

But then I have a problem because the only solution is$=(0 0)^{T}.

I'd know how to proceed, were it not for this dilemma. Next I would Assume there's a second solution x=$te^{rt}+#e^{rt}, where#is another vector with constant entries, and then solve.

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# Homework Help: Repeated Eigenvalues problem

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