How to solve coupled ODE problem

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SEOYEON
SEOYEON on 11 May 2020
Answered: David Goodmanson on 11 May 2020
I'm trying to solve system of coupled ODE's.
assume that =Ydot, =Y, r=4.
If I have five equations which are
Ydot1 =
Ydot2 =
Ydot3 =
Ydot4 =
Ydot5 =
How can I solve these ODE equations with its result as a graph.
Or at least, how can I solve coupled ODE with Ydot on both sides. Like,

Answers (1)

David Goodmanson
David Goodmanson on 11 May 2020
Hi seoyeon,
It's easy enough to solve for Ydot4 in the fourth equation. Then if you put that up front in the code, you can plug the result into what is now the first equation to obtain
Ydot4 = 8*Y3*Y4 / (1+Y1);
Ydot1 = r*Y1^2 + 6*Y1*Y3 + Ydot4;
The (1+Y1) in the denominator may cause some problems, but that's what the equations are saying.

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