Gmatch the differential equation with its direction field. y' = x(10 − y) give reasons for your answer. y' = x(10 − y) = 0 on the lines x = 0 and y = 0, and y' > 0 for 0 < x < π/10, 0 < y < π/10. y' = x(10 − y) = 0 on the line y = −x + 1/10, and y' = −1 on the line y = −x. 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 = 10, y' = 0. 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 = 10, y' = 0. y' = x(10 − y) = 0 on the lines x = 0 and y = 10.