×
Get Full Access to Numerical Analysis - 10 Edition - Chapter 5.7 - Problem 7
Get Full Access to Numerical Analysis - 10 Edition - Chapter 5.7 - Problem 7

×

# Let P(t) be the number of individuals in a population at time , measured in years. If ISBN: 9781305253667 457

## Solution for problem 7 Chapter 5.7

Numerical Analysis | 10th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Numerical Analysis | 10th Edition

4 5 1 289 Reviews
22
3
Problem 7

Let P(t) be the number of individuals in a population at time ?, measured in years. If the average birth rate b is constant and the average death rate d is proportional to the size ofthe population (due to overcrowding), then the growth rate of the population is given by the logistic equation dt where = kP{t). Suppose 7(0) = 50, 976, b 2.9 x I0~2 , and A: = L4x 10-7 . Find the population after 5 years.

Step-by-Step Solution:
Step 1 of 3

Section 1.2: Basic Ideas and Terminology Definition 1.2.1: A differential equation is an equation involving one or more derivatives of an unknown function. To begin our study of differential equation we need some common terminology. If an equation involves the derivative of one variable with respect with another, then the former is called a dependent variable and the later an independent variable. Example 1: d x dx a kx  0 dt2 dt A differential equation involving ordinary derivatives with respect to a single independent variable is called an ordinary differential equation. A differential equation

Step 2 of 3

Step 3 of 3

##### ISBN: 9781305253667

Unlock Textbook Solution