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Looking for examples on differential equations. please write detailed steps. for what I ask
you can choose any equation of your liking to make examples with what is asked below please be as detailed as you can
I want to learn and be able to figure out how to do it. your help is much appreciated
-write the ODE of the model of the system (rate in - rate out)
-write the direction field (6x6) explain how
-find the solution for the initial value problem
Given a differential equation (any)
-find the direction field
-use appropriate theorem to prove a unique solution exists (Linear and Non Linear for both please)
-use euler's method and find approximate solution
-solve initial value problem (IVP)
-find existence and uniqueness by numerical approach and direct approach (use solution method)
-sketch solution and piece wise approximation
-which one is larger the approximation or solution and why?
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