Eulers Method

Routine Summary

Approximates a future value of a given function.

Inputs

X - Initial X-Value
Y - Initial Y-Value
Str1 - The equation
D - X-value at which the Y-value is approximated

Outputs

U - X-value approximation
V - Y -value approximation

Variables Used

E, C, H, X, U, Y, Y1, V

Calculator Compatibility

TI-83/84/+/SE/CSE/CE

Author

Xeda Elnara, who optimized Myles_Zadok's optimization of the routine linked to below:

Authors

The Mathematics Department at the University of Arizona

URL: [http://math.arizona.edu/~krawczyk/Calculator/TI83PLUS/TI83PNEul.html]

Download

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.

Related Routines

• Newtons Method

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