(Solved): Please solve this problem by following all directions and post all work and explanations. I wil ...

Please solve this problem by following all directions and post all work and explanations. I will upvote!

You do not have to use any software just be very detailed 1. analytically/symbolically and 2. numerically!!!!!!!!! pick any First order problem to solve!!!

you to explore a first-order problem in detail by solving it (1) analytically (symbolically) and (2) numerically. You may choose the problem and the methods used, but I encourage you to use software for both parts and, in particular, for the numerical solution. For the numerical solution, examine algorithms beyond the standard Euler Methods we have been using. For example, the use of the Improved Euler Method, methods involving better integration techniques (like Simpson's Rule or the Trapezoid Rule), as well as standard algorithms in Matlab such as ode23 or ode45. (If you are into Applied Mathematics, you may want to look at all that goes into numerical methods.)