on the syntax of desolve's answer



Hi,

I am pretty new to maxima and brand new on this mailing list,
and it is a bit tough to find documentation or comments on
internet. I am trying to solve a system of 2 differential
equations. Desolve returns an answer with ILT and LVAR. I am
not very good in math, still I guess ILT might be an inverse
laplace transform ? Well anyway, I am looking for a solution,
or at least I would like to understand what maxima is
telling me.

The equations are very simple so I paste them here
so you can see what I am talking about :

dN_1: T_g * (R_1 * C_1 * N_1(t) + R_2 * C_2 * N_2(t)) / (1 + T_1 * C_1
* N_1(t) + T_2 * C_2 * N_2(t));

dN_2: T_g * (R_1 * C_1 * N_1(t) + R_2 * C_2 * N_2(t)) / (1 + T_1 * C_1
* N_1(t) + T_2 * C_2 * N_2(t));

eq1: 'diff(N_1(t), t) = dN_1;

eq2: 'diff(N_2(t), t) = dN_2;

desolve([eq1, eq2], [N_1(t), N_2(t)]);

Thank you for your help,
Alex.