EULER

Casio 7700

-This program plots 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 iterations to be plotted. Solutions can be superimposed on a slopefield by running the Slopefield program first. Previous are not cleared. Store f(x,y) under Fmem using the first position only.

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 SHIFT then RED

'EULER'

"INITIAL X"? $\to$ X

"INITIAL Y"? $\to$ Y

"STEP SIZE"? $\to$ H

"NO. OF ITERATIONS"? $\to$ N

Lbl 1

X+H $\to$ U

Y+f1 H $\to$ V

Plot X,Y

Plot U,V

Line

U $\to$ X

V $\to$ Y

Dsz N

Goto 1

{' is found with '()}

{" is found with ALPHA}{? is found with PRGM(Range)}{ $\to$ is }

{Lbl is found with PRGM(Range) in the JMP menu.}

{f1 symbol is obtained by hitting Fmem(0), chossing fn, then 1}

{Plot is found with SHIFT it is listed as PLT}{The 0 is a zero}

{Line is found with SHIFT it is listed as LIN}

{Dsz is found with PRGM(Range) in the JMP menu}

{Goto is found with PRGM(Range) in the JMP menu it is listed as Gto}