PROGRAM:EULER
:Y1*H+Y
Y:X+H
X:Disp X,Y
General method:Start at a point on the graph of the antiderivative. Follow the graph using the tangent line at that point. Add an increment to the x-coordinate and estimate the y-coordinate on the graph from the y-coordinate on the tangent line.
Program:
PROGRAM:EULER
:Y1*H+YY
:X+HX
:Disp X,Y
To use this program, place the formula for f '(x) as Y1 in the "Y=" menu. Store the increment, h, in H and the initial values x1 and y1 in X and Y. Execute the program. Continuing to press the enter key will display successive approximations of points on the antiderivative.
