1. Find the general solution to the following systems of equations and for (a) sketch the phase space diagram:(a)˙x=parenleftbigg3-22-2parenrightbiggx,(b)˙x=parenleftbigg3-24-1parenrightbiggx.2. Solve the following initial value problem:˙x=parenleftbigg5-131parenrightbiggx,x(0) =parenleftbigg2-1parenrightbigg.3. Consider˙x=parenleftbigg0-51αparenrightbiggx.(a) Determine the eigenvalues in terms of
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