Unformatted text preview: x ). ±ind the Frst 4 nonzero terms. 2b. Di²erentiate your result of 2a and show that d dx ( xJ 1 ( x )) = xJ ( x ) (4) 2c. Similarly di²erentiate the series for J ( x ) and show that d dx ( J ( x )) =-J 1 ( x ) (5) 2d. In MATLAB, plot J ( x ) and J 1 ( x ) from x=0 to x=30 on the same plot. Hand in a copy of your plot. 3. Using the search engine GOOGLE, search for an application of Bessel functions to a topic that you are interested in. ±or example, googling “blood ³ow Bessel” comes up with a number of references of mathematical models of blood ³ow which involve Bessel functions. ±rom the various hits google delivers, choose one and write a paragraph describing the application and how Bessel functions enter into the analysis. Print out a sample page of the application and include it with your homework....
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- Spring '08
- Bessel function, Bessel Functions, Friedrich Bessel, blood flow Bessel