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Eulers Method

Routine Summary Inputs Outputs Variables Used Author Authors Download
Approximates a future value of a given function. X - Initial X-Value
Y - Initial Y-Value
Str1 - The equation
D - X-value at which the Y-value is approximated		 U - X-value approximation
V - Y -value approximation		 E, C, H, X, U, Y, Y1, V Xeda Elnara, who optimized Myles_Zadok's optimization of the routine linked to below: The Mathematics Department at the University of Arizona http://tibasicdev.github.io/local—files/routine-page/routine.zip routine.zip
Please note that there may be a graphical bug that displays the token -1 as 1. 
:"INITIAL-
:Input Ans+"X=",X
:Input Ans+"Y=",Y
:Input "EQN=",Str1
:Str1→Y1
:Input "FINAL-X=",D
:Input "NO. OF ITERATIONS=",E
:Eֿ¹(D-X→H
:For(I,1,E
:ClrHome
:Y+Y1H→Y
:X+H→X
:ClrHome
:Disp "STEP",I,"X=",X,"Y=
:Pause Y
:End

Euler's method is used to predict the value of a function at a higher value than the initial value. The initial x- and y-values are used to find the y- value at the desired x-coordinate of the given function. Multiple iterations are done to reach a better approximation.

Authors: KG