Question
Consider the system of first order ODE x(t)=Ax(t) where A=\left[\begin{array}{lll} 0 & 1 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 2 \end{array}\right] (a) Find the general solution to this system. (b) Find a nonzero solution x(t) satisfying (t)|| < 1 for every t E R or explain why no such solution exists.
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