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Give reasons for your answer. Oy' = x(6- y) = 0 on the lines x = 0 and y = 6. Oy' = x(6- y) = 0 on the lines x = 0 and y = 0, and y'> 0 for 0 < 0

Give reasons for your answer. Oy' = x(6- y) = 0 on the lines x = 0 and y = 6. Oy' = x(6- y) = 0 on the lines x = 0 and y = 0, and y'> 0 for 0 < 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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Give reasons for your answer. Oy' = x(6- y) = 0 on the lines x = 0 and y = 6. Oy' = x(6 - y) = 0 on the lines x = 0 and y = 0, and y'> 0 for 0 < x < T 7,0 < y < 1/10 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 = 6, 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 = 6, y' = 0. Oy' = x(6- y) = 0 on the line y = -x + 1 6' and y'= -1 on the line y = -x.
Transcribed Image Text:Give reasons for your answer. Oy' = x(6- y) = 0 on the lines x = 0 and y = 6. Oy' = x(6 - y) = 0 on the lines x = 0 and y = 0, and y'> 0 for 0 < x < T 7,0 < y < 1/10 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 = 6, 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 = 6, y' = 0. Oy' = x(6- y) = 0 on the line y = -x + 1 6' and y'= -1 on the line y = -x.
Match the differential equation with its direction field. y' = x(6-y) 1 1-Q.41 1 1-Q.21 /// /// ///// // " ////// 11 /// -0.2 +04 /////// /////// H/ = //// ++ 7 77 // 477 /04/ X → 11 11 1 0.4 18 0.4+ X -1 y 0 7/11 1 //// ///// X
Transcribed Image Text:Match the differential equation with its direction field. y' = x(6-y) 1 1-Q.41 1 1-Q.21 /// /// ///// // " ////// 11 /// -0.2 +04 /////// /////// H/ = //// ++ 7 77 // 477 /04/ X → 11 11 1 0.4 18 0.4+ X -1 y 0 7/11 1 //// ///// X
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