Question
The number in a population x(t) at time t is given by the equation dx dt = x(x 3)(x 10) (a) What are
The number in a population x(t) at time t is given by the equation dx dt = −x(x − 3)(x − 10)
(a) What are the critical points of the equation?
(b) Draw a phase diagram for this equation
(c) Determine whether each critical point is stable or unstable.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
a Critical Points To find the critical points we set dxdt 0 and solve for x dxdt xx 3x 10 0 Setting ...
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Step: 2
Step: 3
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A First Course in Differential Equations with Modeling Applications
Authors: Dennis G. Zill
11th edition
1305965728, 978-1305965720
