Variation of Parameters Explained: Finding Particular Solutions in Differential Equations

August 17, 2026 Leave a comment
Variation of Parameters slide introducing the nonhomogeneous equation ay'' + by' + cy = g(t), the decomposition y = yh + yp, and the idea of using Variation of Parameters when Undetermined Coefficients does not fit.

Differential Equations • Second-Order Linear ODEs • Visual Lesson Level: Undergraduate Differential Equations  |  Core skill: Find a particular solution…

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Resonance Explained: Forced Oscillations in Differential Equations

July 9, 2026 Leave a comment
Differential equations resonance slide showing a small rhythmic push on a swing creating a large oscillation when the forcing frequency matches the natural frequency.

Resonance happens when a forcing frequency matches a system’s natural frequency. This Woody Calculus Differential Equations lesson explains forced oscillations, natural frequency, undamped resonance growth, damping, peak response, and real-world applications.

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