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DAEs and Euler

DAEs and Euler

Hello, i have just recently started to use Modelica. I am mostly interested in solving large systems of ordinary equations. For this reason i took a look at the scalable test suite.

Now there is one thing i do not quite understand. As far as I know, many problems result in DAEs that can not be solved by standard ODE solvers. Still i can choose the euler solver for every problem and the simulation will run.

Now my questions are:
How can I see whether a problem can be solved by an ODE solver?
Can every Modelica-Dae be converted to an ODE?
If not, what happens if i try to simulate a DAE with an ODE-solver?

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