Question: Problem 1: Deriving numerical methods for an IVP In this problem. you will work through the details of deriving a one-step and multi-step method for

Problem 1: Deriving numerical methods for an IVP In this problem. you will work through the details of deriving a one-step and multi-step method for the initial value problem: a = u) we) = 1'0 (D) You Wlll also characterize the truncation error of each method. By understanding the details of how to develop and understand these methods. you will have the very powerful ability to derive general methods for numerically solvmg lVPEl Part 1a: Trapezoid method (concept question) Derive the trapezoid method for solving the NP and derive how its truncation error scales with At
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