Figure 9.20 is a slope field for dy∕dx = y − 10.

(a) Draw the solution curve for each of the following initial conditions:
(i) y = 8 when x = 0

(ii) y = 12 when x = 0

(iii) y = 10when x = 0

(b) Since dy∕dx = y − 10, when y = 10, we have dy∕dx = 10 − 10 = 0. Explain why this matches your answer to part (iii).

20 16 12 8 4 y 11 1 11 X 1 2 Figure 9.20: Slope field for dy/dx = y - 10