Question: dsolve: additive constants of integration lost


I'm solving a system of 3 second order ODE's for 3 unknown functions, using dsolve. But in the output, I receive various sets of solutions which contain only 3 constants of integration. A friend solved the same system but in Mathematica, and received more constants of integration. 

I guess this has to do with the issue that Maple omits additive constants of integration almost everywhere. 

Is there some solution? i.e. some way of using dsolve such that all integration constants are retained?

Thanks in advanced

Please Wait...