HP 48gII Graphing, 50g Graphing manual Diffeq

Models: 50g Graphing 48gII Graphing

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1 1

 

DIAGMAP

, << → X<<EXP(X)>> >>

Command:

 

 

0 2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

or DIAGMAP([[1,1],[0,2]],exp(X))

 

 

 

 

 

 

 

 

 

EXP(1) – EXP(1) + EXP( 2)

 

Result:

 

0

EXP(2)

 

 

 

 

 

 

 

 

DIFF

 

 

 

 

 

 

 

Type:

Command

 

 

 

 

Description:

Displays a menu or list containing the CAS commands for differential calculus, including

 

commands for working with series.

Access: Catalog, …µ

Flags: If the CHOOSE boxes flag is clear (flag –117 clear), displays the operations as a numbered list. If the flag is set, displays the operations as a menu of function keys.

See also: ALGB, ARIT, CONSTANTS, EXP&LN, INTEGER, MAIN, MATHS, MATR, MODULAR, POLYNOMIAL, REWRITE, TESTS, TRIGO

DIFFEQ

Type: Command

Description: Differential Equation Plot Type Command: Sets the plot type to DIFFEQ.

When the plot type is DIFFEQ and the reserved variable EQ does not contain a list, the initial value problem is solved and plotted over an interval using the Runge–Kutta–Fehlberg (4,5) method. The plotting parameters are specified in the reserved variable PPAR, which has the following form:

{(xmin, ymin) (xmax, ymax) indep res axes ptype depend } For plot type DIFFEQ, the elements of PPAR are used as follows:

(xmin, ymin) is a complex number specifying the lower left corner of PICT (the lower left corner of the display range). The default value is (–6.5,–3.1) for the HP 48gII and (–6.5,–3.9) for the HP 50g and 49g+.

(xmax, ymax) is a complex number specifying the upper right corner of PICT (the upper right corner of the display range). The default value is (6.5,3.2) for the HP 48gII and (6.5,4.0) for the HP 50g and 49g+.

indep is a list, { X x0 xf }, containing a name that specifies the independent variable, and two numbers that specify the initial and final values for the independent variable. The default values for these elements are { X 0 xmax }.

res is a real number specifying the maximum interval, in userunit coordinates, between values of the independent variable. The default value is 0. If res does not equal zero, then the maximum interval is res. If res equals zero, the maximum interval is unlimited.

axes is a list containing one or more of the following, in the order listed: a complex number specifying the userunit coordinates of the plot or igin, a list specifying the tickmark annotation, and two strings specifying labels for the horizontal and vertical axes. If the solution is real valued, these strings can specify the dependent or the independent variable; if the solution is vector valued, the strings can specify a solution component:

0 specifies the dependent variable (X)

1 specifies the dependent variable (Y)

n specifies a solution component Yn

Full Command and Function Reference 359

Page 179
Image 179
HP 48gII Graphing, 50g Graphing manual Diffeq