Find the logistic equation that satisfies the initial condition. Logistic Differential Equation dy = 4y dt y = 180 1 + 19e 5 180 -0.8t X Initial Condition XX (0, 9) Use the logistic equation to find y when t = 5 and t = 100. (Round your answers to two decimal places.) y(5)= 133.53 y(100)= 180

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 4SE: Define Newton’s Law of Cooling. Then name at least three real-world situations where Newton’s Law of...
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Find the logistic equation that satisfies the initial condition.
Logistic Differential Equation
y y²
180
y =
dy
dt
=
180
1 + 19e
4y
5
180
-0.8t X
Initial Condition
Use the logistic equation to find y when t = 5 and t = 100. (Round your answers to two decimal places.)
y(5) = 133.53
y(100) =
X
X
(0, 9)
Transcribed Image Text:Find the logistic equation that satisfies the initial condition. Logistic Differential Equation y y² 180 y = dy dt = 180 1 + 19e 4y 5 180 -0.8t X Initial Condition Use the logistic equation to find y when t = 5 and t = 100. (Round your answers to two decimal places.) y(5) = 133.53 y(100) = X X (0, 9)
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