hw19 - y ′ 1 = y 2-y 3 2 / 4 , y ′ 2 =-y 1 + cos( πt )...

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MAE 107 Assignment 9 Study Problems Only. Do not hand in. The study problems from Homework 8! Epperson, Section 6.6 problems: 1a, 1b. Epperson, Section 6.9 problem: 2. Start with any reasonable h . If it’s too large, the algorithm will correct it. It might be good to do less than 4-5 steps, as the method can be a bit time-consuming if done by hand. Epperson, Section 8.3 problem: 1. Apply the fourth-order Runge-Kutta method to:
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Unformatted text preview: y ′ 1 = y 2-y 3 2 / 4 , y ′ 2 =-y 1 + cos( πt ) , with initial conditions y 1 (0) = 1, y 2 (0) = 2. Solve up to t = 0 . 5, with h = 0 . 25. • Apply the power method to Fnd the dominant eigenvalues (and corre-sponding eigenvectors) of the following matrices: A = b 3 / 4 1 / 4 1 / 3 2 / 3 B and of B = b 3 1 1 5 B . ±eel free to stop when you reach some point of your own choosing. 1...
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This note was uploaded on 01/15/2012 for the course MAE 107 taught by Professor Rottman during the Spring '08 term at UCSD.

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