Consider the two slope fields shown, in figures 1 and 2 below. +4 } figure 1 1 1 J J } 1 1 J } +4 1 figure 2 On a print-out of these slope fields, sketch for each three solution curves to the differential equations that generated them. Then complete the following statements: For the slope field in figure 1, a solution passing through the point (2,-1) has a ◆ slope. ? For the slope field in figure 1, a solution passing through the point (-2,0) has a ◆ slope. ? For the slope field in figure 2, a solution passing through the point (2,-1) has a ◆ slope. ? For the slope field in figure 2, a solution passing through the point (0,3) has a ? ◆ slope.
Consider the two slope fields shown, in figures 1 and 2 below. +4 } figure 1 1 1 J J } 1 1 J } +4 1 figure 2 On a print-out of these slope fields, sketch for each three solution curves to the differential equations that generated them. Then complete the following statements: For the slope field in figure 1, a solution passing through the point (2,-1) has a ◆ slope. ? For the slope field in figure 1, a solution passing through the point (-2,0) has a ◆ slope. ? For the slope field in figure 2, a solution passing through the point (2,-1) has a ◆ slope. ? For the slope field in figure 2, a solution passing through the point (0,3) has a ? ◆ slope.
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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Question
Transcribed Image Text:Consider the two slope fields shown, in figures 1 and 2 below.
+4
figure 1
1 1 1
J J
J
}
+4
figure 2
On a print-out of these slope fields, sketch for each three solution curves to the
differential equations that generated them. Then complete the following statements:
For the slope field in figure 1, a solution passing through the point (2,-1) has a
◆ slope.
?
For the slope field in figure 1, a solution passing through the point (-2,0) has a
◆ slope.
?
For the slope field in figure 2, a solution passing through the point (2,-1) has a
◆ slope.
?
For the slope field in figure 2, a solution passing through the point (0,3) has a
?
◆ slope.
Transcribed Image Text:Consider the two slope fields shown, in figures 1 and 2 below.
A
On a print-out of these slope fields, sketch for each three solution curves to the
differential equations that generated them. Then complete the following statements:
✓ ?
For the slope field in figure 1, a solution passing through the point (2,-1) has a
?
◆ slope.
positive
negative
figure 1
zero
1
undefined
figure 2
passing through the point (-2,0) has a
passing through the point (2,-1) has a
passing through the point (0,3) has a
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