CPM Homework Help : CALC Problem 10-59

If $(−2, 3)$ is a point on the curve, use Euler's Method to sketch $y$ for $−2 ≤ x ≤ 2$ when $\frac { d y } { d x } = | x |$ . Use $∆x = 0.5$ .

Hint:

If $x = –2$ , then $dy = 1$ .
Therefore the next point is $(–2 + 0.5, 3 + 1)$ or $(–1.5, 4)$ .