HP 49g Graphing Calculator - Manual (Page 87)

Slopefield plots
A slopefield plot draws a lattice of line segments whose slopes represent
the value of the function/(a’,i/) at their centerpoint. Slopefield plots are
particularly useful in understanding antiderivatives and in solving
differential equations.
A slopefield plot needs two inputs to generate an output. The HP 49G uses
a two-dimensional
smnpling grid
of points whose coordinates provide
the two inputs required. By default, the sampling grid consists of 80
points: 10 colunms by 8 rows.
The following example is a slopefield plot of
.3
-v: +
HIDDOH - JLOPEFIELD^^ SETUP
H-LcFt !'!-F;i'3ht: i . Type:HEf^ttOJEJ ¿:R<ld
V-F-3t-: i. Ee:Vi<K)
Step Indep:If. Deprid = S.
Indep :K Depnd :'i'
Enter HiniHUM K MieH-u«>luHe uel Chi'i-ie type of plot
nota
um m m
4 i'i3' !i ■ ■ «BilMIMiSllllillliliM
Figure 4-15: Default plot window and plot setup parameters for slopefield plots
\ \ \ \
X X N
\ \ \ 'i
X X X \ \
>>>,'x S'
ix X X \ \
Figure 4-16: Sample slopefield plot
Plot window parameters
X-Left, X-Right The horizontal display range corresponding to the first
independent variable (entered in the Indep field).
Y-Near, Y-Far The vertical display range corresponding to the second
independent variable (entered in the Depnd field).
Step Indep The number of columns in the sampling grid.
Step Depnd The number of rows in the sampling grid.
Plotting graphs Page 4-19