Solving Coupled First Order ODE dependent on Derivatives
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I'm trying to use ODE45 to solve a similar differential equation to the following. I'm not sure how to write the function though.

My functions are on the left and on the write is what I would have in the matlab function file, but how do I reference y' and x'? If I try using bprime(1) and bprime(2) I get an error because I'm using them before defining them.
My file would look something like this:
function bprime = dynamicEqs(t,b)
bprime = [3*___ + b(1); ___ -2*b(2)];
end
Thanks so much
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Jan
2015-6-22
Or aftzer multiplying by inv([1 -3; -1 1]):
dx = -0.5*x + 3*y;
dy = -0.5*x + y;
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