The slope field for the equation y'= - +y is shown below On a print out of this slope field, sketch the solutions that pass through the points (1) (0,0); (ii) (-3,1); and (iii) (-1,0). 18811 MAULI -X111 From your sketch, what is the equation of the solution to the differential equation that passes through (-1,0)? (Verify that your solution is correct by substituting it into the differential equation.) y=-1-x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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The slope field for the equation y'= -x +y is shown below
On a print out of this slope field, sketch the solutions that pass through the points
(i) (0,0);
(ii) (-3,1); and
(iii) (-1,0).
AV
MAXL/X11111
STURVETITITI
√ 1 1 2 1 11-14-1-4
11
From your sketch, what is the equation of the solution to the differential equation that passes through (-1,0)? (Verify that your solution is correct by substituting it into the differential
equation.)
y =
-1-x
Transcribed Image Text:The slope field for the equation y'= -x +y is shown below On a print out of this slope field, sketch the solutions that pass through the points (i) (0,0); (ii) (-3,1); and (iii) (-1,0). AV MAXL/X11111 STURVETITITI √ 1 1 2 1 11-14-1-4 11 From your sketch, what is the equation of the solution to the differential equation that passes through (-1,0)? (Verify that your solution is correct by substituting it into the differential equation.) y = -1-x
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