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Match the differential equation with its direction field. y' = 9(x + y) - 1 15 0.1+ -4.31 -0.2 -Q.1 0.1- -0.2, /0,3 -0.3- -0.2 -0.1 -0.1-0.2- 0.3- 0.1 I|| I La2 0.3 -2 1) 2) 3) 4) Give reasons for your answer. y' = 9(x + y) - 1 = 0 on the lines x = 0 and y = 0, and y' > 0 for 0

Match the differential equation with its direction field. y' = 9(x + y) - 1 15 0.1+ -4.31 -0.2 -Q.1 0.1- -0.2, /0,3 -0.3- -0.2 -0.1 -0.1-0.2- 0.3- 0.1 I|| I La2 0.3 -2 1) 2) 3) 4) Give reasons for your answer. y' = 9(x + y) - 1 = 0 on the lines x = 0 and y = 0, and y' > 0 for 0

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' = 9(x + y) - 1 | y y y y 0.3 15 0:2 / 0:2+ 0.1+ 0:1- /// / // -Q.3) -Q.21 -Q.1\ \ 01- -0.2 /0,3 / -0.3- -0.2- -0.1- 0.1 1- -0.2 - -0.3 //// //// -0:1- مر م م مر محر //// ///// / //// //// // <0:2- //// //// //// /// /// -0:3+ 1) -2 -1 2 -1 1 2) う) 4) Give reasons for your answer. o y' = 9(x + y) – 1 = 0 on the lines x = 0 and y = 0, and y'> 0 for 0 < x < r/9, 0 < y < n/9. y' = 9(x + y) – 1 = 0 on the line y = -x + 1/9, and y' = -1 on the line y = -x. y' = 9(x + y) – 1 = 0 on the lines x = 0 and y = 9. 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. 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. %3D
Transcribed Image Text:Match the differential equation with its direction field. y' = 9(x + y) - 1 | y y y y 0.3 15 0:2 / 0:2+ 0.1+ 0:1- /// / // -Q.3) -Q.21 -Q.1\ \ 01- -0.2 /0,3 / -0.3- -0.2- -0.1- 0.1 1- -0.2 - -0.3 //// //// -0:1- مر م م مر محر //// ///// / //// //// // <0:2- //// //// //// /// /// -0:3+ 1) -2 -1 2 -1 1 2) う) 4) Give reasons for your answer. o y' = 9(x + y) – 1 = 0 on the lines x = 0 and y = 0, and y'> 0 for 0 < x < r/9, 0 < y < n/9. y' = 9(x + y) – 1 = 0 on the line y = -x + 1/9, and y' = -1 on the line y = -x. y' = 9(x + y) – 1 = 0 on the lines x = 0 and y = 9. 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. 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. %3D
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