Mathematics & Science
Learning Center |
|||
Applications of Differential EquationsThe Simple Pendulum(continued from last page...) Your new picture should be this one: The upper, red, plot is the actual solution, so apparently, the linearized, blue, solution "undershoots" reality, and would be untrustworthy as a model for this higher initial velocity problem. What if We Use Really Large Values For y?Now redo the entire problem a third time, and this time let's really wallop the thing, giving it an initial velocity, v_{o}, of 10. Don't forget to keep the colors differentiated! Welcome back. Let's go look at the picture which you should have gotten... |
|||
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 |