Back to Diff Eqn

Growth and Decay

 

 

 

 

 

 

 

 

 

 

Even Better Things Are Coming...

But for now try the problems below. 

Quick review: When you have the differential equation y'=ky, the general solution is always of the form y(t) = Aekt.

Sample problems:

1. If y'=2y, find the general solution.

2. If y'=5y, and y(0)=12, find the particular solution.

3. If y'= y/3, and y'(0)=9, find the particular solution.

4. If f '(t) = 4 f(t), and f(3) = 15, what is f(2)?

5. If m'(t) = .02 m(t), where m(t) is the mass of bacteria t hours after noon on July 10, 2003, how long will it take for the mass to double? What day and time?

 

Answers

 

Here is something that I am now working on which runs on your installation of Excel:  Excel Graphs

 

 

Word Problems:

1. Ever wonder why there are rabbits on the cover of your math book? (Click on "MagicBlueCube" to find out.)

 

 

 

 By

Lee DeAnda

Ó 2003 All rights reserved.