BVP for system of 2 second order ODEs

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e_frog
e_frog on 3 Nov 2020
Answered: Alan Stevens on 3 Nov 2020
I have a system of two second order ODEs that I want to calculate using bvp4c. I have some problems transforming the second order ODEs in acceptable first order problems and then setting up the boundary conditions. Help is very much appreciated!
My system of equations with and :
where , , , and h are known constant values and is a known linear function.
The boundary conditions are:
,
,
,
I have some problems setting this up, because and are appearing in both ODEs.
Thanks in advance!

Accepted Answer

Alan Stevens
Alan Stevens on 3 Nov 2020
Here is how you can express your second order equations as first order ones
You should now be able to express your boundary conditions ok, though you seem to have too many! You have four initial conditions which should be enough to determine your dependent variables.

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