Fall 2014
The book is Elementary Differential Equations and Boundary Value Problems The authors are Boyce and DiPrima
Please note This is the tenth edition! (It seems to differ little from earlier editions, so you are probably safe with them. I have the 9th as well so I can help you align the exercises)
Some of the exercises will require you to use a computer to create pictures. There are several ways to do this. Some of you are probably familiar with MatLab which has something called PPLANE which will be helpful. I wrote a software package XPPAUT for solving and graphing differential equations. This runs on all PCs and also runs on iOS devices (sorry, no Android). You can get this at This site . I can help you get it on your computer as it requires a small amount of effort
Homework due: 9/5: 1.1:15-20,23,24,26,29,30;2.1:13,15,16,31,32;2.2:1,5,8,9,10,17,31,37,36;
dx/dt = x *(a-b*y)
dy/dt = y*(-c+d*x)
They have infinitely many periodic solutions. Let T be the period of one of the solutions and let x(t),y(t) be the solution. Compute the average values of x(t),y(t):
xbar = (1/T) integral (x(t),t=0..T)
ybar = (1/T) integral (y(t),t=0..T)