4. Consider the DE: dy(x) = X - <- y(x), dx a. Sketch the slope field of the DE in fig. 3. b. Draw solutions through the points (-2,-3) (-2,-1) (-2,1) (-2,3). c. Conclusion: - in the slope field of this DE, all points on a line have the same slope. Figure 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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need help on question 4 and 5, graph 

4. Consider the DE:
dy(x)
- y(x),
dx
a. Sketch the slope field of the DE in fig. 3.
b. Draw solutions through the points
(-2,-3) (-2,-1) (-2,1) (-2,3).
c. Conclusion:
- in the slope field of this DE, all points on a
line have the same slope.
Figure 3
5. Consider the DE:
dy(t)
+ ty(t) = 1,
%3D
dt
a. Sketch the slope field of the DE in fig. 4.
b. Draw solutions through the points
(0,-2), (0,-1), (0,0), (0,1) and (0,2).
Transcribed Image Text:4. Consider the DE: dy(x) - y(x), dx a. Sketch the slope field of the DE in fig. 3. b. Draw solutions through the points (-2,-3) (-2,-1) (-2,1) (-2,3). c. Conclusion: - in the slope field of this DE, all points on a line have the same slope. Figure 3 5. Consider the DE: dy(t) + ty(t) = 1, %3D dt a. Sketch the slope field of the DE in fig. 4. b. Draw solutions through the points (0,-2), (0,-1), (0,0), (0,1) and (0,2).
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