Question
Asked Feb 20, 2019
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solve problem 2.7

Problem 2.7
onsider the equation
dx
-x(x-u)(x-2),
dt
0 < a < 2.
has three steady points, x=0,x= 2, and x = a. Determine which of them is stable.
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Problem 2.7 onsider the equation dx -x(x-u)(x-2), dt 0 < a < 2. has three steady points, x=0,x= 2, and x = a. Determine which of them is stable.

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Expert Answer

Step 1

We have to find stablity of steady point .
Steady  point where dx/dt=0 ,so x=0,x=a,x=2

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Step 2

For stability point first we will draw graph between dx/dt and x and check where dx/dt is +ve and -ve.
process are shown in step2 and step 3.

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Step 3

With the help of graph we find wh...

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Calculus

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