A slightly more complicated system with repeated eigenvalues is dx dt c 21 1 0 21 d x
Chapter 10, Problem 32(choose chapter or problem)
A slightly more complicated system with repeated eigenvalues is dx dt c 21 1 0 21 d x (a) Show that x1std c1e2t 1 c2te2t and x2std c2e2t is a solution. The origin in this case is called an improper node. (b) Try obtaining this general solution by calculating the eigenvectors and eigenvalues of the coefficient matrix. Comment on anything unusual that occurs.
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