**Unformatted text preview: **points (states), if any. 4. Consider the ode of Problem 1(h) with initial condition s (0) = ( x (0) , ˙ x (0)) = (-1 , 0) and ω = 2. (a) Numerically integrate this equation over the time domain D = [0 , 1] using a ﬁrst-order Taylor’s series and time interval of .01 between steps. Submit a plot of x ( t ). (b) Repeat this task but use pplane7.m to perform the numerical integration process and submit a plot of x ( t ). (c) How similar are the results of (a) and (b)? 5. Repeat Problem 4 for ω = 20. How well do the results of your numerical integration compare with that of pplane7.m in this case? 1...

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- Spring '06
- FINE
- Numerical Analysis, numerical integration process