I apologise for being brief, but I don't understand how is Euler equation used in the Ramsey growth model. I am reading a textbook "Dynamic General Equilibrium Modeling" and there is mentioned about it.
I am modeling the Ramsey model using the Kuhn-Tucker theorem, and I have a set of first-order conditions. I think this is good enough, as I can use a standard constrained optimization method to solve this Ramsey model.
Why do we need the Euler equation, which is a second-order different equation? It is not used in the constrained optimization method.