10, 000, draw a direction field and use For the case where k = 1, M = 100, 000 and m = it to sketch several solutions for various initial populations. What are the equilibrium solutions? One can show that k(М-т), M(Po – m)e (Ро — т)е t. т(Ро — М) M P(t) = k(М-т) t M – (Po – M) is a solution with initial population P(0) = Po. Use this to show that, if P(0) < m, then there is a time t at which P(t) = 0 (and so the population will be extinct).
10, 000, draw a direction field and use For the case where k = 1, M = 100, 000 and m = it to sketch several solutions for various initial populations. What are the equilibrium solutions? One can show that k(М-т), M(Po – m)e (Ро — т)е t. т(Ро — М) M P(t) = k(М-т) t M – (Po – M) is a solution with initial population P(0) = Po. Use this to show that, if P(0) < m, then there is a time t at which P(t) = 0 (and so the population will be extinct).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 4 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage