Use Euler's method with t = 0.2 for five steps to estimate x(1) and v(1) for the

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Use Euler's method with Δt = 0.2 for five steps to estimate x(1) and v(1) for the model in Exercise 16 with initial position x(0) = 1 and initial velocity v(0) = -1. Compare with the results in Exercise 18.
The spring equation or simple harmonic oscillator
Use Euler's method with Δt = 0.2 for five steps

studied in Subsection 2.10.3 describes how acceleration (the second derivative of the position x) is equal to the negative of the position. The spring constant k has been set to 1 for simplicity. This one equation for the second derivative can be written as a system of two autonomous differential equations.

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