Answered: choose 1 for each question: a) (1, 2,…

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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choose 1 for each question:

a) (1, 2, 3 , 4 , 5)

b) (increase, decrease, or stay same)

c) (up or down)

d) (would change at y=1, would change at y= -1, would change at y= -3, would not change)

e) (would eventually approach y=1, would eventually approach y = -3, would eventually approach y = -4, would increase without bound, would decrease without bound)

f) (increase, decrease, or stay the same)

g) (up, down)

h) (would change at y=1, would change at y= -1, would change at y= -3, would not change)

i) (would eventually approach y=1, would eventually approach y= -3, would eventually approach y= -4, would increase without bound, would decrease without bound)

Use the graph of the function z = -(y + 3)(y – 1) below to sketch a graph of
solutions to y' = -(y + 3)(y – 1) with initial conditions y(0) = -2 and y(0) = -3.5.
You will not turn in your sketch but will use it to answer the following questions.
-2
--1
The differential equation y' = -(y + 3)(y – 1) has 2 constant solutions.
If y(0) = -2, as t increases, y would
+ and would initially be
• The concavity of this solution
+ . This
concave
solution
If y(0) = -3.5, as t increases, y would
+ and would initially be
• . The concavity of this solution
+ . This
concave
solution

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