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

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

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.

Transcribed Image Text:

dex 2 2