[Maxima-discuss] how to solve a differential equation defined by differentials?

[<fi...@ig...>]

Dear Maxima Users,

in physics we often have problems which can be expressed in
differentials, like this simple example (it describes gas flow from a
leak in a pressure vessel)

   declare([cp, cv], constant);      /* heat capacity         */
   u : cv * T;                       /* spec. internal energy */
   h : cp * T;                       /* spec. enthalpy        */
   U : m * u;                        /* internal energy       */
   E : diff(U) = -h * diff(m);       /* energy conservation   */

(%o5)              cv T del(m) + cv m del(T) = - cp T del(m)

%o5 is actually a differential equation in T and m. It can easily be
solved by separation of variables - but how to do this using Maxima?

Actually: how could it be solved using ode2() or how can it be
transformed such that ode2() can solve it?


Thanks and best regards


Torsten



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Torsten Finke
fi...@ig...
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