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Match the differential equation with its direction field. y' = 2-y

Match the differential equation with its direction field. y' = 2-y

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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0-2 -1 y 0 1 2 -1.5 -1.0 -0.5- and y' = π Oy' = 2 - y = 0 on the lines x = 0 and y = 0, and y'> 0 for 0 < x < 2,0 < y < 2 y 1.5T y = -x. 1.0 0.5 0.5 1.0 1.5- 0.5- 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 = 2, y' = 0. π 2 1.0 X -1.5 Oy' y' = 2 y = 0 on the lines x = 0 and y = 2. 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 = 2, y' = 0. Oy' = 2 - y = 0 on the line y = −X + 1 -1 on the line I 2' 1
Transcribed Image Text:0-2 -1 y 0 1 2 -1.5 -1.0 -0.5- and y' = π Oy' = 2 - y = 0 on the lines x = 0 and y = 0, and y'> 0 for 0 < x < 2,0 < y < 2 y 1.5T y = -x. 1.0 0.5 0.5 1.0 1.5- 0.5- 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 = 2, y' = 0. π 2 1.0 X -1.5 Oy' y' = 2 y = 0 on the lines x = 0 and y = 2. 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 = 2, y' = 0. Oy' = 2 - y = 0 on the line y = −X + 1 -1 on the line I 2' 1
Match the differential equation with its direction field. y' = 2-y -1 y 0 1 1 1 - x 2 G O 1444 -1.5 -1.0 \ +05\ y 1.5 // 1.01 0,5 1.0 0.5- 1 AXA X 1.0 /1/5 11 | | | | | | +115 | | | | | | i
Transcribed Image Text:Match the differential equation with its direction field. y' = 2-y -1 y 0 1 1 1 - x 2 G O 1444 -1.5 -1.0 \ +05\ y 1.5 // 1.01 0,5 1.0 0.5- 1 AXA X 1.0 /1/5 11 | | | | | | +115 | | | | | | i
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