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An Ode to ODEs. Instructor: Peter Dourmashkin. This video leads students through modeling the regular, non-linear pendulum with a differential equation.
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We explore why solutions to a differential equation are an infinite family of functions. We show that to determine a specific solution to this second order differential equation, two initial conditions must be specified. Proof of the need for two initial conditions is shown via use of the Taylor Series. (from ocw.mit.edu)
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