## Mathematics & Science
Learning Center |
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## Applications of Differential Equations## The Simple Pendulum
You just got the following, I hope:
We have now finished solving the linearized problem. What we're now going to attempt to do is compare this result with what we get when we solve the original, non-linear problem. ## Solving the Non-Linear ProblemThe solution to the non-linear problem is the actual, reality based
solution. The only roadblock to finding it is that the problem is But no-one said we had to solve the problem analytically. There is always
the numerical approach to fall back on at times like this. So we'll use
As a reminder, the original, non-linear initial value problem was:
when we replace
actsol=NDSolve[{y''[t]+9.8 Sin[y[t]]==0, Go back to Let's go see what you should have gotten... |
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ODE Laboratories: A Sabbatical Project by Christopher A. Barker©2017 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207, USA e-mail: cbarker@deltacollege.edu |