CPM Homework Help : CALC Problem 9-68

Examine the slope field for $\frac { d y } { d x } = x + y$ for $−2 ≤ x ≤ 2$ below.

If $y(−2) = 2$ , use Euler's Method to draw a solution curve for $y$ using $∆x = 1$ .
Draw a new solution using Euler's Method if $y(−2) = 0$ .

Steps:

Start at $(–2, 2)$ . $dy/dx = 0$ , so the next point is $(–1, 2)$ .
Using $(–1, 2)$ , $dy/dx = 1$ , so the next point is $(0, 3)$ .
Continue this process to locate more points on the solution curve.