2.15 Antiderivatives and Initial Value Problems

By the end of your studying, you should know:
Onscreen applet instructions:
Use the slider to display solutions of the differential equation.
ExamplesGraph sin^{2}(x), then use the graph to sketch an antiderivative of sin^{2}(x).Let g'''(x) = sin(x), with the conditions g(0) = 0, g'(0) = 1, g''(0) = –1. Find g(x).
Find a solution to the 4thorder differential equation
VideosSee short videos of worked problems for this section.
QuizExercisesSee Exercises for 2.15 Antiderivatives and Initial Value Problems (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
Antiderivatives

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2.14 Linear Approximations  Table of Contents  2.16 Velocity and Acceleration 
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel