BC ONLYExample 6 __
Let . Use Euler’s method to approximate the y-values with four steps,
starting at point P 0 (1, 0) and letting Δx = 0.5.
SOLUTION:
The slope at . To find the y-coordinate
To find the y-coordinate of P 2 (x 2 , y 2 ) we add Δy to y 1 , where
To find the y-coordinate of P 3 (x 3 , y 3 ) we add Δy to y2, where
and so on.
The table summarizes all the data, for the four steps specified, from x = 1 to x =
3:
TABLE FOR