Lab for Taylor's Method for solving O.D.E.'s

 

Background. For an arbitrary function f(t,y), what are the derivatives [Graphics:td.txtgr8.gif]for k = 1, 2, 3, 4 ?

Derivation. The chain rule must be used to determine the derivatives. Mathematica can do it !

 

[Graphics:td.txtgr10.gif][Graphics:td.txtgr9.gif]
 
 

 

 

 

 

(c) John Mathews, 1998