Set of ODEs with an additional condition

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Ghazwan
Ghazwan 2016-10-23
回答： Torsten 2016-10-28
Hello, Let's say we have the following system of equations: x'=x+sin(y) y'=y+x And we know the boundary conditions. Also, we have the following condition that must be met in the solution of the two equations: log(x)+exp(x)-2*sin(y^2)=0 Is there an official title for this kind of problems? How to solve this system? Thank you!

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J. Alex Lee
J. Alex Lee 2016-10-26
I think this is a differential algebraic equation (DAE)?
Documentation for ode15s might help.

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Torsten
Torsten 2016-10-28
The two differential equations uniquely determine x and y. So you can't expect the algebraic relationship
log(x)+exp(x)-2*sin(y^2)=0
to be satisfied for the solution of the two differential equations
x'=x+sin(y) , y'=y+x.
Best wishes
Torsten.

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