For each of the following equations sketch the phase portrait of the correspond- ing first order system. Then sketch the graphs of several solutions s(t) for different initial conditions: (a) s" + s = 0 (b) s" s" + s + s = 0 - 8= = 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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7. For each of the following equations sketch the phase portrait of the correspond-
ing first order system. Then sketch the graphs of several solutions s(t) for
different initial conditions:
(b) s".
(c) s" + s'+s=0
(a) s" + s
: 0
=
-8= 0
Transcribed Image Text:7. For each of the following equations sketch the phase portrait of the correspond- ing first order system. Then sketch the graphs of several solutions s(t) for different initial conditions: (b) s". (c) s" + s'+s=0 (a) s" + s : 0 = -8= 0
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