Thanks for your answer.
Because t1 and t2 are linked through a variable A, I have managed to find the solution by replacing the t1 , t2 variables with A. Therefore I had a system of ODEs :
\frac{dy1}{dA}*\frac{dA}{dt1}
\frac{dy2}{dA}*\frac{dA}{dt2}
All is good, everything is working perfectly!
After review, these equations are linear 1st order PDE.
I have done my ODE & PDE courses 5 years ago and it is still very fuzzy in my head so any input on how to resolve this (either analytically (unlikely) or numerically) would be VERY appreciated.
I am using matlab.
Hello,
I have been struggling at solving what I think is a system of 1st order PDEs. Here is what I have:
\frac{dy1}{dt1} = y1*F1(t1,t2) + F2(t1,t2)
\frac{dy2}{dt2} = y2*F1(t2,t1) + F2(t2,t1)
These equations have been obtained after modeling a problem using the game theory. More...