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chen310hw2

# chen310hw2 - Ch E 310 Fall 2008 Homework 2 Solutions...

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Ch E 310 – Fall 2008 - Homework 2 Solutions hw2_1.m % set up vectors with two sets of parameters F1(1) = 500; F2(1) = 1000; yin(1) = 0.1; xin(1) = 0; K(1) = 4; F1(2) = 250; F2(2) = 600; yin(2) = 1.0; xin(2) = 0.01; K(2) = 1.5; % loop to cover both parameter sets for n = 1:2 % initialize a 7-by-7 matrix of zeros A = zeros(7); % set up first row A(1,[1:2]) = [F2(n)*K(n)+F1(n) -F2(n)*K(n)]; % loop to create rows 2 through 6 since they shift and repeat for i = 2:6 A(i,[i-1:i+1]) = [-F1(n) F2(n)*K(n)+F1(n) -F2(n)*K(n)]; end % set up last row A(7,[6:7]) = [-F1(n) F2(n)*K(n)+F1(n)]; % initialize b vector b = zeros(7,1); % define the two non-zero terms in b b(1) = F1(n)*yin(n); b(7) = F2(n)*xin(n); format long ; % show more digits y = A\b % matrix solve x = K(n)*y % calculate corresponding x values from equation figure(n) % open a new figure window semilogy((1:7),y,(1:7),x) % plot results with y-axis on log scale end

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Output: >> hw2_1 y = 0.01249999478459 0.00156249413267 0.00019530655118 0.00002440810349
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chen310hw2 - Ch E 310 Fall 2008 Homework 2 Solutions...

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