Simple Harmonic Motion Second Order Differential Equation Model (No Friction)
Автор: Bill Kinney
Загружено: 2022-05-12
Просмотров: 1948
Описание:
Newton's Second Law and Hooke's Law are combined to write down a 2nd order differential equation for harmonic motion. Solutions are linear combinations of cosine and sine with a certain period. This is converted to a first order system of differential equations. Nullclines and solutions are drawn in the phase plane. Use VectorPlot and StreamPlot in Mathematica. Also do this for a predator/prey model. https://amzn.to/3ucUVu3 (How Calculus Reveals the Secrets of the Universe).
Calculus 2, Class 37, Spring 2022
#Calculus #Physics #HarmonicMotion
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