10. [-/10 Points] DETAILS SCALC9 9.2.004. MY NOTES ASK YOUR TEACHER Match the differential equation with its direction field. y' = x(2 - y) -2 -1.51 1-1.Q 1 +015 \\ Give reasons for your answer. O y' = x(2 - y) = 0 on the line y = -x + 1/2, and y' = -1 on the line y = -x. O y' = x(2 - y) = 0 on the lines x = 0 and y = 2. The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y = 2, y' = 0. The slopes at each point are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 2, y' = 0. O y' = x(2 - y) = 0 on the lines x = 0 and y = 0, and y' > 0 for 0