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Math Lab

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SLOPE FIELD

TI 83

-This program plots the slope field for the differential equation in the form ${\hbox{dy}\over \hbox{dx}}=\hbox{f(x,y)}$ . Set an appropraite WINDOW prior to running the program.

Note: Information in {} is not put into the calculator. Information in RED denotes a button on the calculator

Note: Information like BLUE(RED) means to access BLUE hit 2ed then RED

An expression f(x,y) must also be entered before running this program. For x, use X,T,q,n. For Y use ALPHA then Y.

:ClrDraw	{ClrDraw is found with DRAW(PRGM) in DRAW Menu}
:FnOff	{FnOff is found with VARS in the Y-VARS menu choice ON/OFF}
:7*(Xmax-Xmin)/83 $\to$ H	{Xmax and Xmin are found with VARS in WINDOW Menu}{The arrow is STO}
:7*(Ymax-Ymin)/55 $\to$ K	{Ymax and Ymin are found with VARS in WINDOW Menu}
:1/(0.4*H)^2 $\to$ A
:1/(0.4*K)^2 $\to$ B
:Xmin+0.5*H $\to$ X
:Ymin+0.5*K $\to$ Z
:1 $\to$ L
:Lbl 1	{Lbl is found with PRGM in CTL menu}
:1 $\to$ J
:Z $\to$ Y
:Lbl 2
:Y1 $\to$ T
:1/ $\sqrt{}$ (A+B*T^2) $\to$ C
:T*C $\to$ S
:Line(X-C,Y-S,X+C,Y+S)	{Line is found with DRAW(PRGM) in DRAW Menu}
:Z+J*K $\to$ Y
:IS>(J,8)	{IS> is found with PRGM in CTL Menu}
:Goto 2	{Goto is found with PRGM in CTL Menu}
:X+H $\to$ X
:IS>(L,12)
:Goto 1