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Unformatted text preview: diagram will suce). For = 0 , . 5 , 1, use your code for solving: The ODE system of Homework 2, Problem 3, with the stepsizes as indicated 1 The predatorprey problem y 1 = . 25 y 1. 01 y 1 y 2 y 2 =y 2 + . 01 y 1 y 2 for 0 t 10 with stepsizes h = 0 . 1 and h = 0 . 001, and initial values y 1 = y 2 = 10. Plot y 1 vs. t and y 2 vs. t , and y 1 vs. y 2 . Note: You should write your own Newton iteration, but there is no need to write your own linear system solver. Use the function provided in Matlab for that. Provide a subroutine for each problem that computes the Jacobian matrix. Do not use nite dierence approximation or automatic dierentiation to compute the Jacobian. DO NOT USE THE MATRIX INVERSE. IF YOU USE THE MATRIX INVERSE, YOU WILL NOT GET CREDIT FOR THIS PROBLEM! 2...
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This note was uploaded on 07/08/2009 for the course ME 210B taught by Professor Linda during the Spring '09 term at UCSB.
 Spring '09
 Linda

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