1 1 1 1 2 + 1/ +++++ -2¹, 1117 111/ 11 kut \ // SAT/// 3. +11 VA // +1 112 2+- 1 12+ 1 / 1 1 1 11 17 -2, 1 1 AXT/1 17/2 1 choose the correct direction field for the differential equation. 124 + P114 17 1 11 10 IQ R 11 IQ 1 L O 12+ 421 DI VI IQ

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
g
e) Use your answers above to choose the correct direction field for the differential equation.
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1
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++
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///
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O
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//
//
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142
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//
1
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III
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Transcribed Image Text:g e) Use your answers above to choose the correct direction field for the differential equation. || // 2+ 1 124 11 / 1 11 / 1 1 11 NIIII ++ -2, ¹, its: 1²₁ 2 +++ 1, ,7 1117 111/7 /// //// 1117 1 // 11 11 IQ 1 1 / 42+ - || / 1 1 3. 112 N I ++ ITI 111 112 + ||||I 1111 111 11/1 111/ -2, 1 7 1 /// LANN AI VI I 1 NAA N NA SAA +2+ VAA O " 2 1 1 IQ -2 // // II I 1-1 3 VO 142 VII 12+ ²+1 IIII 1 III I LI 1 // 1 VA III 42 + 1 M B
dy
=x-Y.
Consider the differential equation
dx
a) What is the slope of the direction field at the point (-1.5, -1.5) ?
b) What is the slope of the direction field at the point (-0.5, 1.5) ?
c) What is the slope of the direction field along the x-axis? Enter a number or an expression.
d) What is the slope of the direction field along the y-axis? Enter a number or an expression.
e) Use your answers above to choose the correct direction field for the differential equation.
III/
1117/
1117/
|| | //
-²¹,
111/1.
III/
¹+
111/42-
IQ
1
I
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VAI
NATI
NAII
SI
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M
Transcribed Image Text:dy =x-Y. Consider the differential equation dx a) What is the slope of the direction field at the point (-1.5, -1.5) ? b) What is the slope of the direction field at the point (-0.5, 1.5) ? c) What is the slope of the direction field along the x-axis? Enter a number or an expression. d) What is the slope of the direction field along the y-axis? Enter a number or an expression. e) Use your answers above to choose the correct direction field for the differential equation. III/ 1117/ 1117/ || | // -²¹, 111/1. III/ ¹+ 111/42- IQ 1 I - 1²₁ VAI NATI NAII SI C M
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