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). 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 differential equation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The slope field for the equation y
(ii) (-3,1); and
(iii) (-1,0).
= -x +y is shown below
}}}}
+1+1
On a print out of this slope field, sketch the solutions that pass through the points
(i) (0,0);
y =
Tira
1
-11-1
1
TIT
1 1 1 1 1
3-4--4--4--4
1 1 1 1
1
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.)
Transcribed Image Text:The slope field for the equation y (ii) (-3,1); and (iii) (-1,0). = -x +y is shown below }}}} +1+1 On a print out of this slope field, sketch the solutions that pass through the points (i) (0,0); y = Tira 1 -11-1 1 TIT 1 1 1 1 1 3-4--4--4--4 1 1 1 1 1 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.)
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