How the slope of a graph determines its height
In short: Explore the fundamental relationship between change and state in this introduction to differential equations, featuring MIT instructors Gilbert Strang and Cleve Moler.
This overview examines the core mechanics of differential equations, specifically how the slope of a function relates to its height. The video distinguishes between linear relationships—where the slope might equal the height, negative height, or a time-dependent factor like 2t times height—and nonlinear equations, such as when the slope is proportional to the height squared.
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Sources
- Summary by Intellect · source: Overview of Differential Equations
- Also: ocw.mit.edu — Overview of Differential Equations | Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler | Mathematics | MIT OpenCourseWare
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