Doubt in coding a systems of ODEs with bvp4

I have a coupled ODE in terms of two variables x and y, x''''=A*x+B*y+C*y''''; y''''=D*y+E*x+F*x''''; Given with 8 boundary conditions. How will I write the function to expressed the systems of coupled ODEs to use for 'bvp4' ??? As the some of the coupling terms contains the highest derivative of the two dependent variables (i.e. y'''' in equation of x and x'''' in the equation of y)???

 Accepted Answer

x''''=A*x+B*y+C*(D*y+E*x+F*x'''') -> x''''=((A+C*E)*x+(B+C*D)*y)/(1-C*F)
y''''=D*y+E*x+F*(A*x+B*y+C*y'''') -> y''''=((E+A*F)*x+(D+B*F)*y)/(1-C*F)
Best wishes
Torsten.

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on 17 Dec 2017

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on 18 Dec 2017

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