CPM Homework Help : CALC3RD Problem 9-95

Use Euler’s Method to sketch a solution for $\frac { d y } { d x }= -y$ starting at $(–2, –3)$ with $∆x = 0.5$ .

Hint:

$dy=-y\cdot dx\text{ and }dx=0.5$

Step 1:

The initial point is $(–2, –3)$ . The next point is $(-2 + 0.5, -3 + -(-3)(0.5)) = (-1.5, -1.5)$ .

Step 2:

From $(-1.5, -1.5)$ , the next point is $(-1.5 + 0.5, -1.5 + -(-1.5)(0.5)) = (-1, -0.75)$ .

Keep repeating this process then sketch the solution using the points.