Question: Solving system of ODEs whose variables come in 2 parameters

Let N be an integer. 


For each pair of integers (n,m) where 1<= n,m <= N, we have a variable f_{n,m}(t). 


Then for these we have a system of ODEs 


d/dt f_{n,m}(t) = \sum_{n', m'} f_m'n' * f_m''n'' * (m'n'' - m''n') 


where m''=m-m', n''=n=n', and the sum is simply over for all pairs (n',m'). 


I simply do not know how to put these set of equations into Maple in a nice way. 


I will really appreciate any help!

Please Wait...