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Economics Dynamics Problems 230

Economics Dynamics Problems 230 - 214 Economic Dynamics...

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214 Economic Dynamics Hence our solution is u t = V (0) t 0 0 0 ( 1) t 0 0 0 (2) t V 1 u 0 Suppose u 0 = 3 4 3 Then x t y t z t = 1 2 1 1 1 1 3 6 3 0 t 0 0 0 ( 1) t 0 0 0 2 t 1 2 1 1 1 1 3 6 3 1 3 4 3 i.e. x t = 6( 1) t + 2(2 t ) y t = 3( 1) t 2(2 t ) z t = − 18( 1) t + 6(2 t ) or x t y t z t = 3( 1) t 2 1 6 + 2 t + 1 1 1 3 5.4 Mathematica and Maple for solving discrete systems Mathematica and Maple can be used in a variety of ways in helping to solve systems of discrete equations. Here we consider two: (i) Solving directly using the RSolve/rsolve command. (ii) Solving using the Jordan form. 5.4.1 Solving directly
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