
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Please answer part B
![[17] For each of the following equations,
find general solutions;
● solve the initial value problem with initial condition y(0) = −1, y'(0) = 2;
• sketch the phase portrait, identify the type of each equilibrium, and determine the
stability of each equilibrium.
(a) 2y" +9y' + 4y = 0
(d) 2y" - 3y = 0
(g) 9y" + 6y' + y = 0
(b) y" + 2y' — 8y = 0
(e) y" — 2y' + 5y = 0
(c) 4y" - 12y + 5y = 0
(f) 4y" +9y = 0](https://content.bartleby.com/qna-images/question/691b7a67-6813-4d00-98c8-39eebcbbc486/87e46d69-f0e5-4e3a-baa5-393fd6e24785/n5rm125_thumbnail.png)
Transcribed Image Text:[17] For each of the following equations,
find general solutions;
● solve the initial value problem with initial condition y(0) = −1, y'(0) = 2;
• sketch the phase portrait, identify the type of each equilibrium, and determine the
stability of each equilibrium.
(a) 2y" +9y' + 4y = 0
(d) 2y" - 3y = 0
(g) 9y" + 6y' + y = 0
(b) y" + 2y' — 8y = 0
(e) y" — 2y' + 5y = 0
(c) 4y" - 12y + 5y = 0
(f) 4y" +9y = 0
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