Single Variable Calculus

Session 40: Separation of Variables

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Overview

In this session we solve an assortment of simple differential equations.

Lecture Video and Notes

Video Excerpts

Clip 1: dy/dx=f(x)

Worked Example

Exponential Growth and Inhibited Growth

• Problem (PDF)
• Solution (PDF)

Recitation Video

xy’=(x²+x)(y²+1)

Lecture Video and Notes

Video Excerpts

Clip 1: Differential Equations and Slope, Part 1

Clip 2: Differential Equations and Slope, Part 2

Recitation Video

y"=6x

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