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The solution of a differential equation is shown in the figure below. Explain why it can not be the plot of the solution of the following differential equations. You only need to provide one reason (even though there might be several). 4 2 1 2 3 4 5 6 7 8 (a) y' = 1 + y? (b) y = y – 4 (C) y' = (y – 4)(y – 3)(y – 1) (d) zy' = (y – 4)(3 – y)(y – 1)

The solution of a differential equation is shown in the figure below. Explain why it can not be the plot of the solution of the following differential equations. You only need to provide one reason (even though there might be several). 4 2 1 2 3 4 5 6 7 8 (a) y' = 1 + y? (b) y = y – 4 (C) y' = (y – 4)(y – 3)(y – 1) (d) zy' = (y – 4)(3 – y)(y – 1)

Advanced Engineering Mathematics
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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Complete the following question:

The solution of a differential equation is shown in the figure below. Explain why it can not be the plot of the solution of the following differential equations. You only need to provide one reason (even though there might be several). 4 2 1 2 3 4 6 7 (a) y' = 1 + y? (b) y' = y – 4 (c) y' = (y – 4)(y – 3)(y – 1) (d) z' = (y – 4)(3 – y)(y – 1) -
Transcribed Image Text:The solution of a differential equation is shown in the figure below. Explain why it can not be the plot of the solution of the following differential equations. You only need to provide one reason (even though there might be several). 4 2 1 2 3 4 6 7 (a) y' = 1 + y? (b) y' = y – 4 (c) y' = (y – 4)(y – 3)(y – 1) (d) z' = (y – 4)(3 – y)(y – 1) -
Expert Solution
Step 1

(a)

y' = 1+y2           ( 1 )

In the graph y = 4 is equilibrium point but y = 4 is not an equilibrium point of (1).

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