ty(4 – y) y' y(0) = y, > 0. %3D 1 +t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Consider the initial value problem
ty(4 – y)
y' =
y(0) = y, > 0.
1 +t
Determine how the solution behaves as t → ∞.
If yo
2, find the time T at which the solution first reaches the value 3.99.
%3D
Find the range of initial values for which the solution lies in the interval 3.99 < y < 4.01 by the time t = 2.
Transcribed Image Text:Consider the initial value problem ty(4 – y) y' = y(0) = y, > 0. 1 +t Determine how the solution behaves as t → ∞. If yo 2, find the time T at which the solution first reaches the value 3.99. %3D Find the range of initial values for which the solution lies in the interval 3.99 < y < 4.01 by the time t = 2.
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