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Linear Differential Equations | BUx on edX | About Video

2,023 views · Published 31 March 2015 · 1:35 · Indexed 4 November 2026

Channel: edX · 2015 · Education

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Take this course for free on edX: https://www.edx.org/course/linear-differential-equations-bux-math226-2x

Learn the mathematical theory of linear differential equations and their application to systems such as the mass-spring system and other linear oscillations.
About this Course
Phenomena as diverse as the motion of the planets, the spread of a disease, and the oscillations of a suspension bridge are governed by differential equations. This course is an introduction to the mathematical theory of ordinary differential equations and follows a modern dynamical systems approach. In particular, equations are analyzed using qualitative, numerical, and if possible, symbolic techniques.

MATH226 is essentially the edX equivalent of MA226, a one-semester course in ordinary differential equations taken by more than 500 students per year at Boston University. It is divided into three parts. MATH226.2x is the second part.

In MATH226.2x, you will:

Study a special class of differential equations---linear differential equations---that are especially important. Many models assume linearity in order to take advantage of techniques that apply only to linear equations.
Analyze solutions to linear differential equations with two dependent variables using both analytic and qualitative techniques.
Study forced second-order linear equations and related phenomena such as beats and resonance.

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