Example 9.  Plot the functions  [Graphics:Images/FrobeniusSeriesMod_gr_506.gif] is the n-th root of  [Graphics:Images/FrobeniusSeriesMod_gr_507.gif].
Since we will be considering a drum of unit radius, plot  [Graphics:Images/FrobeniusSeriesMod_gr_508.gif] over the interval  [Graphics:Images/FrobeniusSeriesMod_gr_509.gif].
Solution 9.

[Graphics:../Images/FrobeniusSeriesMod_gr_510.gif]

[Graphics:../Images/FrobeniusSeriesMod_gr_511.gif]
[Graphics:../Images/FrobeniusSeriesMod_gr_512.gif]
[Graphics:../Images/FrobeniusSeriesMod_gr_513.gif]
[Graphics:../Images/FrobeniusSeriesMod_gr_514.gif]
[Graphics:../Images/FrobeniusSeriesMod_gr_515.gif]
[Graphics:../Images/FrobeniusSeriesMod_gr_516.gif]
[Graphics:../Images/FrobeniusSeriesMod_gr_517.gif]
[Graphics:../Images/FrobeniusSeriesMod_gr_518.gif]
[Graphics:../Images/FrobeniusSeriesMod_gr_519.gif]
[Graphics:../Images/FrobeniusSeriesMod_gr_520.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004