MATLAB: Differential and Integral System

differential and integral systems

Can a system of differential and integral equations be solved in Matlab? I have the following system): y1'+a*(y1-y3)=0; y2'+b*(y2-y4)=0; intg(y1-y3) + c*y3- d*(y3*y4)=0; intg(y2-y4) + c*y4- e*(y3*y4)=0;

Best Answer

Set
y5=intg(y1-y3)
y6=intg(y2-y4)
Then your system becomes
(1) y1'+a*(y1-y3)=0
(2) y2'+b*(y2-y4)=0
(3) y5 + c*y3- d*(y3*y4)=0
(4) y6 + c*y4- e*(y3*y4)=0
(5) y5'=y1-y3
(6) y6'=y2-y4
Use equations (3) and (4) to solve for y3 and y4.
Best wishes
Torsten.
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