EULERT

TI 83

-This program gives values for an approximate solution for the differential equation ${\hbox{dy}\over \hbox{dx}}=\hbox{f(x,y)}$ using Euler's method. The program will ask for initial point, step size, and the number of steps.

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

The pause command in the program allow you to see the results of each step. Use ENTER to continue, ON to quit.
An expression for f(x,y) must also be entered in Y1 before running this program. For x use X,T,q,n. For Y use ALPHA then Y.

:0 $\to$ J
:Disp "INITIAL X="	{Disp is found with PRGM in the I/O Menu}
:Input X	{Input is found with PRGM in the I/O Menu}
:Disp "INITIAL Y="
:Input Y
:Disp "STEP SIZE="
:Input H
:Disp "NO. OF STEPS="
:Input N
:Lbl 1	{Lbl if found with PRGM in the CTL Menu}
:Disp "X,Y:"
:Disp X
:Disp Y
:Pause	{Pause if found with PRGM in the CTL Menu}
:Y+HY₁ $\to$ Y
:X+H $\to$ X
:IS>(J,N)	{IS> is found with PRGM in the CTL Menu}
:Goto 1