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Match the differential equation with its direction field. y' = 7(x + y) - 1 -0.4- 0.2 q.2 d4 Give reasons for your answer. 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 = 7, y' = 0. O 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 = 7, y' = 0. O y' = 7(x + y) - 1 = 0 on the line y = -x + 1/7, and y' = -1 on the line y = -x. O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 7. O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 0, and y'> o for o

Match the differential equation with its direction field. y' = 7(x + y) - 1 -0.4- 0.2 q.2 d4 Give reasons for your answer. 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 = 7, y' = 0. O 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 = 7, y' = 0. O y' = 7(x + y) - 1 = 0 on the line y = -x + 1/7, and y' = -1 on the line y = -x. O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 7. O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 0, and y'> o for o

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Match the differential equation with its direction field. y' = 7(x + y) - 1 y / 14T y 12 +0¥4 -0.2 0.2 -0.4- - 0.2 0.2 0.4 o-2 1 -1 Give reasons for your answer. 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 = 7, v' = 0. O 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 = 7, y' = 0. O y' = 7(x + y) - 1 = 0 on the line y = -x + 1/7, and y' = -1 on the line y = -x. O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 7. O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 0, and y'> 0 for o <x < T/7, 0 < y < T/7.
Transcribed Image Text:Match the differential equation with its direction field. y' = 7(x + y) - 1 y / 14T y 12 +0¥4 -0.2 0.2 -0.4- - 0.2 0.2 0.4 o-2 1 -1 Give reasons for your answer. 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 = 7, v' = 0. O 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 = 7, y' = 0. O y' = 7(x + y) - 1 = 0 on the line y = -x + 1/7, and y' = -1 on the line y = -x. O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 7. O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 0, and y'> 0 for o <x < T/7, 0 < y < T/7.
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