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R7 DR
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How to solve multiple equations dependent on each other?

Asked by R7 DR
on 30 Jan 2015
Latest activity Answered by Niels
on 30 Jan 2015
Hi
How to code this situation?
I have two equations, which are dependent on each other. Y=2X+5----(1) and X=2Y+5-----(2) The initial value of X=1, then I have to solve these equation repeatedly for 10 times.
Thanks

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1 Answer

Answer by Niels
on 30 Jan 2015
 Accepted Answer

Since you depend on your previous answers, you can simply loop through the equations and store the answers.
x = ones(1,10); % also contains your initial x
y = ones(1,10); % just to preallocate y as well
for i=1:9 % loop 9 times
y(i) = 2*x(i) + 5; % calculate the y-value
x(i+1) = 2*y(i) + 5; % calculate the 'next' x-value
end
y(10) = 2*x(10) + 5; % finish off by calculating the final y-value
If you only care about the final value, this suffices:
x = 1;
for i=1:9
y = 2*x + 5; % calculate the y-value
x = 2*y + 5; % calculate the 'next' x-value
end
y = 2*x + 5;

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