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Match the differential equation with its direction field. y' - 8(x + y) - 1 -0.3- -0.2 0.1 0.1 - 0.2 -0.3- I -9.3 102 -0.1 0.1 - 0.2 0,3 0.1. <0:3+ 0-2 -1 00-2 Give reasons for your answer. O y' - 8(x + y) - 1 -o on the lines x -0 and y - 0, and y'> o for o

Match the differential equation with its direction field. y' - 8(x + y) - 1 -0.3- -0.2 0.1 0.1 - 0.2 -0.3- I -9.3 102 -0.1 0.1 - 0.2 0,3 0.1. <0:3+ 0-2 -1 00-2 Give reasons for your answer. O y' - 8(x + y) - 1 -o 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' = 8(x + y) – 1 y Q.2 10 0.1 0.1 -0.3 -0.2-0.1 0.1 0.2 -0,3- I -Q.31 +0,2 -0.1 0.1 0,2 0,3 0.1 //// //// //////// <0:3+ 0-2 -1 1 @0-2 1 Give reasons for your answer. O y' = 8(x + y) – 1 = 0 on the lines x = 0 and y = 0, and y' > o for o < x < T/8, 0 < y < T/8. O y' = 8(x + y) - 1 = 0 on the line y = -x + 1/8, and y' = -1 on the line y = -x. O y' = 8(x + y) - 1 = 0 on the lines x = 0 and y = 8. 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 = 8, y' = 0. 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 = 8, y' = 0.
Transcribed Image Text:Match the differential equation with its direction field. y' = 8(x + y) – 1 y Q.2 10 0.1 0.1 -0.3 -0.2-0.1 0.1 0.2 -0,3- I -Q.31 +0,2 -0.1 0.1 0,2 0,3 0.1 //// //// //////// <0:3+ 0-2 -1 1 @0-2 1 Give reasons for your answer. O y' = 8(x + y) – 1 = 0 on the lines x = 0 and y = 0, and y' > o for o < x < T/8, 0 < y < T/8. O y' = 8(x + y) - 1 = 0 on the line y = -x + 1/8, and y' = -1 on the line y = -x. O y' = 8(x + y) - 1 = 0 on the lines x = 0 and y = 8. 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 = 8, y' = 0. 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 = 8, y' = 0.
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