Concept explainers
a.
To find if P(0) = 3, the value of
a.
Answer to Problem 4QQ
The required solution is 10.
Explanation of Solution
Given Information: A population is modelled by a function p that satisfies the logistic differential equation.
Calculation:
As per the given problem,
Substitute P = 3 for C.
Now, putting C = -7 in
Hence, the required solution is 10.
b.
To find if P(0) = 20, the value of
b.
Answer to Problem 4QQ
The required solution is 10.
Explanation of Solution
Given Information: A population is modelled by a function p that satisfies the logistic differential equation.
Calculation:
As per the given problem,
Substitute P = 20 for C.
Now, putting C = 0.5 in
Hence, the required solution is 10.
c.
To find Y(t) if Y(0) = 3.
c.
Answer to Problem 4QQ
The required solution is
Explanation of Solution
Given Information: A population is modelled by a function p that satisfies the logistic differential equation.
A different population is modelled by a function Y that satisfies the separable differential equation.
Calculation:
As per the given problem,
Hence, the required solution is
d.
For the function Y found in part (c), find the value of
d.
Answer to Problem 4QQ
The required solution is 0.
Explanation of Solution
Given Information: A population is modelled by a function p that satisfies the logistic differential equation.
Calculation:
As per the given problem,
= 0
Hence, the required solution is 0.
Chapter 7 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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