Match the differential equation with its direction field. y' = 9(x + y) - 1 NA VA ANAX -1 INN. ---- YAAAAX027 VAAAA XX A
Posted: Wed Jul 06, 2022 1:20 pm
Give reasons for your answer. Oy'-9(x+y) - 1-0 on the line y = -x + 1/9, and y'= -1 on the line y = -x. Oy'-9(x + y) - 1-0 on the lines x = 0 and y = 0, and y'> 0 for 0<x</9, 0 <y<x/9. O 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 = 9, y' = 0. y' = 9(x + y) - 1-0 on the lines x= 0 and y 9. 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 = 9, y'-0.