User:Egm6341.s10.team4.anandankala/HW7-3

=Hermit-Simpson Rule to interpret the logistic Equation=

Given
Logistic Equation is given by $$\displaystyle \dfrac{dx}{dt}=rx(1-\dfrac{x}{x_{max}})$$

where $$\displaystyle x_{max}=10; r=1.2; x_0=2,7; t\in[0,10]$$

Find
Use Hermit Simpson rule to interpret the above equation.

Solution
This problem has been solved by writing a matlab code.

Hermit Simpson Code:

Case(1) : $$ \displaystyle x_0 = 2.0 $$ Plot:

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Case(2) : $$ \displaystyle x_0 = 7.0 $$ Plot:

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