Andrei Zorine <zoav1@uic.nnov.ru> writes:
> 3
> d 2
> (D11) --- (f(z)) = ------
> 3 2
> dz 1 - z
> (C12) desolve(d11,f(z));
[...]
> I need to solve this equation to compute the
> sum(1/((2*n-1)*n*(2*n+1)),n,1,inf).
No need for fancy ODE machinery. Just iterate INTEGRATE three times,
being careful with the integration constants. It helps to ASSUME(0<z,
z<1). And check that it is possible to interchange summation over n
and the limit for z -> 1-.
Wolfgang