 Solution

ID: past-exam-of-the-algebra-analysis-and-differential-equations-2-course-of-the-university-of-oxford/2008-printed-variant/9/a/ii/solution

Both eigenvalues are real and positive:

λ_{1} > 0, λ_{2} > 0

. The real eigendirections carry exponentially growing factors, giving an unstable node.

 New to topics? Read the docs here!