Part 1. If I want to solve the system; u-v = (h-a)e^-s w-u = (k-b)e^-t ae^s = be^t for a, b, u, in terms of the remaining variables using the implicit function theorem... If I want to know when I can solve, can I just say f(a, b, u) can not = 0? And if I set a, b, u, = 0 Than I get k and h can not = 0. Part 2. Calculate du/ds, da/ds, db/ds, by exhibiting a linear set of equations. So for da/ds for example, solve equation 1 for a giving; d(-e^s(u-v)+h)/ds? I don’t need to solve the system.