Backsolving for variable(s) is it possible using MathCad Solve Blocks?
I have written with Werner's help a reasonably complicated worksheet which solves a coupled ODEs within a solve block. The ODEs are themselves nested functions. To get the answer I desire it normally take many runs because the output functions are dependant on many input variables. I have read that a competing product TKSolver can do backsolving for the input variables in order to achieve a desired output function which describes the goal. I have looked at making the ODE solve block into a function and passing back the initial conditions but that is not what is desired because the nested functions are "bound up" as part of the ODE definition.
What is needed is some way of defining a goal output within the solve block and somehow (maybe via external program control) changing the input variables to achieve that goal. The goal in my case is just one variable but it is a dependant on other variables particularly height which the coupled ODE is solves for. I have seen examples in the forum where ODEs can be functions but usually they have discrete parameters within the ODE which can be changed by passing the changed function parameters back to the ODE and then recalculating the solve block. In my case the ODE functions within the solve block are complex i.e. (have no separable discrete parameters) as all input parameters are defined outside the solve block. Obviously the ODE equations are dependant on those inputs but as I see it one can not changes those inputs in a dynamic sense to arrive at a revised output to achieve the desired goal. My question is has someone achieve what I am describing by using MathCad. Indeed can it be done with MathCad and if so has someone an example worksheet that they are willing to share, from which I can discern the methodology that has been used to achieve that end. If it is possible would this make the ODE very unstable i.e. "hunt" or is there a way to avoid such a situation?
Kind regards, Mark