3.1 Modeling with Differential Equations

By the end of your studying, you should know:
Onscreen applet instructions:
The applet draws a slope field for an equation y' = f(x,y). It allows several choices of the function, and allows changing the
resolution of the grid. Drag the mouse to draw a solution curve through the point P. Click the mouse (instead of drag) to set a new initial point P. Click here for more details.
ExamplesMatch three equations with the differential equations they satisfy.Match four differential equations with their slope fields.
Solve the following differential equation by separation of variables.
AppletsSlope Field
VideosSee short videos of worked problems for this section.
QuizExercisesSee Exercises for 3.1 Modeling with Differential Equations (PDF).Work online to solve the exercises for this section, or for any other section of the textbook. 
Resources on the WebInformation on NewtonBiographical data from St. Andrew's University's Web site Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Information on Leibniz
Calculus Applications

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2.18 Case Study: Torricelli?s Law  Table of Contents  3.2 Exponential Growth and Decay 
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel