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Question: ODE's system with an integral

Question:ODE's system with an integral

Kivo69 15
integral differential-equations bvp
April 22 2013
3

Hi,

I have to get the numerical solution of a systems of differential equations, but with the particularity of that one of its equations contain an integral. I mean, something like this:

eq1 := diff(x(t), t) = -z(t); eq2 := diff(y(t), t) = z(t)-(1/2)*x(t); eq3 := y(t) = 3-2*(int((z(t)-z(tau))/sqrt(tau^2-1), tau = 0 .. 1)); bc1 := x(0) = 1; bc2 := x(1) = 0

"bc1" and "bc2" are the boundaries conditions

I have tried with the numeric option of 'dsolve' function, but I have not get anything. Does anyone know how to solve it?


Thank you very much in advance
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