Complexity Explorer Santa Fe Institute

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Ordinary Differential Equations

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10.1 Unit 3 Homework » Homework Part 1

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Instructions

This homework assignment explores numerical ODE solvers; it is intended for people with some programming ability.

(The following questions are refered to in the solutions video as Part A and Part B of Question 1.)

Write a forward Euler (also called explicit Euler) solver for the simple harmonic oscillator ODEs with , , and

- that is, no friction. Check your solver using the Unit 3.5 quiz solution: start from initial condition:

with timestep to find and compare it to the quiz solution.