CPM Homework Help : APCALC Problem 9-67

Examine the slope field of $\frac { d y } { d x }= x + y$ for $–2 ≤ x ≤ 2$ at right.

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 $y(-2) = 0$ .

Step 1:

Start at $(–2, 2)$ . $dy/dx = 0$ , so the next point is $(–1, 2)$ .

Step 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.