3.4 Slope Fields and Euler's Method
By the end of your studying, you should know:
On-screen applet instructions:
The applet allows the user to generate an Euler's Method approximation to the solution of the given IVP. The buttons are fairly self-explanatory. What is the effect of changing the step size?
ExamplesAn investor has a savings account that pays 3.5% interest. The investor opens the account with $500 and makes an additional deposit of $500 at the end of each year. Assume the function S(t), which gives the amount in the savings account after t years, satisfies the differential equation
Use Euler's method to estimate the amount in the account at the end of 5, 10, and 25 years, using a step size of 0.1.
VideosSee short videos of worked problems for this section.
ExercisesSee Exercises for 3.4 Slope Fields and Euler's Method (PDF).
Work online to solve the exercises for this section, or for any other section of the textbook.
Resources on the WebInformation on Newton
Biographical data from St. Andrew's University's Web site
Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Nothing yet has been found. Any ideas?
|3.3 Separable Differential Equations||Table of Contents||3.5 Issues in Curve Sketching|
Software requirements: For best results viewing and interacting with this page, get the free software listed here.
Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel