Further looking into things...still think utilizing the Matlab code in C++ will be the simplest solution. I have a numerical coding book that shows me how to implement RK4, and like I said, I've found multiple "answers" online. But the book I'm using as a guide walks me through the steps using ODE45 in Matlab for solving a system of equations. I kind of looked at the ODE45.m file, just not sure how to use it with C++ (is this even possible?).
Thanks.