http://www.chem.mtu.edu/~tbco/cm416/RKTutorial.html 

Study   TI-89T CellSheet    first

To define plot characteristics, do this before cell program
Home  Diamond  F1  F1:9:Format  Enter Coordinates Rect     Graph Order Seq 
Grid On      Axes On  Leading Cursor Off   Labels On

Mode
Current Folder acel   Exact/Approx Approximate     Graph  Function
Split 1 App  CellSheet  

Bring up CellSheet   Name it x(arbitrary) and start  the process below
Define column size with and numbers size as desired with F3:Column format.
I used Float 6 and cell width 6.

 is the url for this example.
x | A   | B       |  C  |    D    |     E    |    F   |     G    |     H   |  
----------------------------------------------------------------------------
1 | tk 	| yk      |  dt |   d1     |  d2     |  d3     | d4      |  y(k+1) |  
----------------------------------------------------------------------------
2 | 0	| 1.0     | 0.1 |  -0.1    | -0.0944 | -0.0955 | -0.0895 | 0.9051  |  
----------------------------------------------------------------------------
3 | 0.1	| 0.9051  | 0.1 |  -0.0898 | -0.0842 | -0.0852 | -0.0796 | 0.82041 |  
----------------------------------------------------------------------------
4 | 0.2	| 0.82041 | 0.1 |  -0.0797 | -0.0746 | -0.0754 | -0.0703 | 0.74539 |  
----------------------------------------------------------------------------
5 | 0.3	| 0.74539 | 0.1 |  -0.0705 | -0.0659 | -0.0665 | -0.0621 | 0.67917 |  
----------------------------------------------------------------------------
6 | 0.4	| 0.67917 | 0.1 |  -0.0621 | -0.0581 | -0.0586 | -0.0547 | 0.6208  | 
----------------------------------------------------------------------------
7 | 0.5	| 0.6208  | 0.1 |  -0.0548 | -0.0512 | -0.0516 | -0.0483 | 0.56934 |  
----------------------------------------------------------------------------
8 | 0.6 | 0.56934 | 0.1 |  -0.0483 | -0.0452 | -0.0456 | -0.0426 | 0.52393 |  
----------------------------------------------------------------------------
********************************************************************************
Note  cell variables are not available in Home mode

Put titles on row 1
a2 =0
b2=1
c2=0.1
d2 =c2*(-2*b2^2+e^(-3*a2))
e2 =c2*(-2*(b2+.5*d2)^2+e^(-3*(a2+.5*c2)))
f2 =c2*(-2*(b2+.5*e2)^2+e^(-3*(a2+.5*c2)))
g2 =c2*(-2*(b2+.5*e2)^2+e^(-3*(a2+.5*c2)))
h2 =b2+1/6*d2+1/3*e2+1/3*f2+1/6*g2

A3 =a2+.1
B3 =h2
c3 =.1
d3 =c3*(-2*b3^2+e^(-3*a3))
e3 =c3*(-2*(b3+.5*d3)^2+e^(-3*(a3+.5*c3)))
g3 =c3*(-2*(b3+.5*e3)^2+e^(-3*(a3+.5*c3)))
h2 =b3+1/6*d3+1/3*e3+1/3*f3+1/6*g3

Use F3:3 Fill Range to extend column down a level one level at a time.

Example  Select B3 Enter  Copy  F3:3  Fill Range Formula =h2 Range  b3:b4 
Enter Enter b4 is now accurate.
Repeat with rest of rows

When all cells are accurate, plot the results.
Plot   F2:1:Plot Setup
See plot menu    F1   Define Plot 1   Plot Type Scatter  Mark Box
xRange a2:a8   yRange  h2:h8   No    Enter   F5 ZoomData   See graph


See graph, scatter plot with squares, grid and labels x y

Hit APPS  Cell Sheet Current to return to cell layout