TimeScales.org

TimeScales.org

Tutorial
 
Tutorial Home
 
1. What are Time Scales?
2. Definition of a Time Scale
3. Notation
4. Differentiation and Integration on Time Scales
5a. Operations Applet

6. The Time Scale Exponential

6a. Applet Examples
 
TimeScales.org

 

6. The Time Scale Exponential

 

The time scale exponential is used to solve time scale differential equations.  On continuous time, the solution to the first order differential equation

First Order DE

is

DE.

More generally, the solution to

DE

is

DE.

     This can be generalized to time scale equations of the form

DE .

The solution is

DE

where the time scale exponential is

exp

and the cylinder transformation is

DE

 

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