SLOPE FIELD - TI 83 Plus

Introduction
This program plots the slope field for the differential equation in the form ${\hbox{dy}\over \hbox{dx}}=\hbox{f(x,y)}$ .

If you have not used one of the programs posted on this website before, you should read through the information in the Intro to Programming section first.

If you have a TI Connectivity Cable, you can download the program SLOPEF.8xp

The Program

:ClrDraw {ClrDraw is in DRAW under Draw}

:FnOff {FnOff is in VARS under Y-Vars}

:7*(Xmax-Xmin)/83 $\to$ H {Xmax, Xmin are in VARS under Window} {The arrow is STO}

:7*(Ymax-Ymin)/55 $\to$ K {Ymax, Ymin are in VARS under Window}

:1/(0.4*H)^2 $\to$ A

:1/(0.4*K)^2 $\to$ B

:Xmin+0.5*H $\to$ X {X is X,T button}

:Ymin+0.5*K $\to$ Z

:1 $\to$ L {The 1 is a one}

:Lbl 1 {Lbl is in PRGM under CTL}

:1 $\to$ J

:Z $\to$ Y

:Lbl 2

:Y1 $\to$ T {Y1 is in VARS under Y-VARS}

:1/ $\sqrt{}$ (A+B*T^2) $\to$ C { is the square root button.}

:T*C $\to$ S

:Line(X-C,Y-S,X+C,Y+S) {Line is in DRAW under Draw}

:Z+J*K $\to$ Y

:IS>(J,8) {IS> if in PRGM under CTL}

:Goto 2 {Goto is in PRGM under CTL}

:X+H $\to$ X

:IS>(L,12)

:Goto 1

Running the Program

You will need to enter a function f(x,y) into Y1 and adjust the WINDOW accordingly before running the program. You can use the X,T button for X and the ALPHA button for Y.

:ClrDraw	{ClrDraw is in DRAW under Draw}
:FnOff	{FnOff is in VARS under Y-Vars}
:7*(Xmax-Xmin)/83 $\to$ H	{Xmax, Xmin are in VARS under Window} {The arrow is STO}
:7*(Ymax-Ymin)/55 $\to$ K	{Ymax, Ymin are in VARS under Window}
:1/(0.4*H)^2 $\to$ A
:1/(0.4*K)^2 $\to$ B
:Xmin+0.5*H $\to$ X	{X is X,T button}
:Ymin+0.5*K $\to$ Z
:1 $\to$ L	{The 1 is a one}
:Lbl 1	{Lbl is in PRGM under CTL}
:1 $\to$ J
:Z $\to$ Y
:Lbl 2
:Y1 $\to$ T	{Y1 is in VARS under Y-VARS}
:1/ $\sqrt{}$ (A+B*T^2) $\to$ C	{ is the square root button.}
:T*C $\to$ S
:Line(X-C,Y-S,X+C,Y+S)	{Line is in DRAW under Draw}
:Z+J*K $\to$ Y
:IS>(J,8)	{IS> if in PRGM under CTL}
:Goto 2	{Goto is in PRGM under CTL}
:X+H $\to$ X
:IS>(L,12)
:Goto 1