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Hello, I know you asked for no recursion. However, this problem lends itself perfectly for a recursive step, that I have put it in anyway.... ellFunc[t_] := t Exp[-t] (*example for your l[t]*) Define the first RHS of your ODE: ...
> a,b,c,f,k, tmin1 and tmax1 are just constants. `a` is not a constant, it is a parameter. The error message means (see `ref/message/NDSolve/conarg` in the help) that each function mentioned must always have the same variable ordering:...
Okay, it looks like you are building a nested expression. It might be getting huge and that could account for the speed issue. Given the use of machine doubles, large scales, and high degree exponents, I would be surprised if this was not numerically...