How does a wave move from its initial shape and velocity?

Wave Equation · 15:14 · Video: MIT OpenCourseWare · Watch at the source

In short: Explore the fundamental mathematics behind wave motion. This MIT OpenCourseWare lecture demonstrates how the wave equation tracks movement along an axis, using examples like the vibrations of a violin string.

In this session of MIT RES.1-009, instructors Gilbert Strang and Cleve Moler examine the mechanics of the wave equation. The lesson explains how a wave's progression along the x axis is determined by its starting shape and initial velocity. It also covers how physical constraints, such as the fixed endpoints of a violin string, influence these mathematical patterns.

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