dx 10. (2² – 1)(x – 2) dt

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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Equilibrium solutions and phase lines Find the equilibrium solutions for
each of the differential equations in Exercise Group 1.3.7.8-13. Draw the phase
line for each equation and classify each equilibrium solution as a sink, a source,
or a node.
dx
9.
dt
8. у— 2у — 5
(x – 1)(x + 2)
dy
11.
dx
dx
10.
(x² – 1)(x – 2)
sin 2y
|
dt
12. 2' — (2? + 1)(г — 1)
13. x' = x2 + x +1
Transcribed Image Text:Equilibrium solutions and phase lines Find the equilibrium solutions for each of the differential equations in Exercise Group 1.3.7.8-13. Draw the phase line for each equation and classify each equilibrium solution as a sink, a source, or a node. dx 9. dt 8. у— 2у — 5 (x – 1)(x + 2) dy 11. dx dx 10. (x² – 1)(x – 2) sin 2y | dt 12. 2' — (2? + 1)(г — 1) 13. x' = x2 + x +1
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