Show that the linearization of (2) at .15; 0/ is u0 D 60u

Chapter , Problem 6

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Show that the linearization of (2) at .15; 0/ is u0 D 60u 45v, v0 D 3v. Then show that the coefficient matrix of this linear system has negative eigenvalues 1 D 60 and 2 D 3. Hence .15; 0/ is a nodal sink for the system in (2). 7.

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