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Unformatted text preview: ues of the matrix in the rst order equation. (c) In a phase diagram, show the behavior of the system using the previous analysis and by solving for y 1 ( t ) = 0 and y 2 ( t ) = 0. (d) Give the solution of the system when y ( t ) = 0 and y ( t ) = 1. 4. Consider the initial value problem y 1 ( t ) y 2 ( t ) = 5 y 1 ( t ) 13 y 2 ( t ) y 3 1 ( t ) y 1 ( t ) y 2 2 ( t ) 13 y 1 ( t ) 5 y 2 ( t ) y 2 1 ( t ) y 2 ( t ) y 3 2 ( t ) , y 1 (0) = 3 , y 2 (0) = 3 (1) (a) Find the solution of the linearized initial value problem around the stationary point . (b) Show that the solution of the original nonlinear initial value problem converges to as t . 1...
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This note was uploaded on 08/01/2008 for the course ECON 204 taught by Professor Anderson during the Fall '08 term at University of California, Berkeley.
 Fall '08
 ANDERSON
 Economics

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