In Problems 9 and 10, describe in words the rate of change of the given quantity satisfying the indicated differential equation and discuss the increasing/decreasing properties of the quantity . 9. The number of people y who have contracted an infectious disease satisfies d y / d t = 0.2 y ( 50 , 000 − y ) and y (0) = 1.
In Problems 9 and 10, describe in words the rate of change of the given quantity satisfying the indicated differential equation and discuss the increasing/decreasing properties of the quantity . 9. The number of people y who have contracted an infectious disease satisfies d y / d t = 0.2 y ( 50 , 000 − y ) and y (0) = 1.
Solution Summary: The author compares the given differential equation with the logistic growth model. The expression 50,000-y represents the number of people who have not contracted the infectious disease.
In Problems 9 and 10, describe in words the rate of change of the given quantity satisfying the indicated differential equation and discuss the increasing/decreasing properties of the quantity.
9. The number of people y who have contracted an infectious disease satisfies
d
y
/
d
t
=
0.2
y
(
50
,
000
−
y
)
and y(0) = 1.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY