Show that the linearization of the system in (7) at (5, 2)
Chapter 7, Problem 7.4.19(choose chapter or problem)
Show that the linearization of the system in (7) at (5, 2) is u' = -5v, V i = 2u. Then show that the coefficient matrix of this linear system has conjugate imaginary eigenvalues A1 , A2 = ivltO. Hence (0, 0) is a stable center for the linear system. Although this is the indeterminate case of Theorem 2 in Section 7.3, Fig. 7.4. 16 suggests that (5, 2) also is a stable center for (7).
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