kcrisman <kcris...@gmail.com> writes:

> Of course, it would be worth seeing whether one of the other CASs can
> solve this one exactly.

possibly FriCAS can, it seems:

(2) -> DEiii := %pi * (39/100*y t+ 1/2)^2* D(y t,t)  + a * sqrt(2*g*y t)

                     2                           ,             +-------+
        (1521%pi y(t)  + 3900%pi y(t) + 2500%pi)y (t) + 10000a\|2g y(t)

   (2)  ----------------------------------------------------------------
                                      10000
                                                    Type: Expression(Integer)
(3) -> solve(DEiii, y, t)

                 +-------+               3                2
        50000a t\|2g y(t)  + 3042%pi y(t)  + 13000%pi y(t)  + 25000%pi y(t)
   (3)  -------------------------------------------------------------------
                                        +----+
                                      5\|y(t)
                                         Type: Union(Expression(Integer),...)


But WARNING: I did not check the solution and I did not read the manual
:-)

Martin

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