Consider the initial value problem y': ty (8 - y) 4 , y(0) = y0. a) Determine how the behavior of the solution as t increases depends on the initial value yo. If yo> 0, then [Choose one If yo<0, then [Choose one If yo0, then Choose one b) Suppose that yo=0.5. Find the time T at which the solution first reaches the value 7.98. NOTE: Round your answer to five decimal places. T =
Consider the initial value problem y': ty (8 - y) 4 , y(0) = y0. a) Determine how the behavior of the solution as t increases depends on the initial value yo. If yo> 0, then [Choose one If yo<0, then [Choose one If yo0, then Choose one b) Suppose that yo=0.5. Find the time T at which the solution first reaches the value 7.98. NOTE: Round your answer to five decimal places. T =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:ty (8 - y)
Consider the initial value problem y':
=
, y(0) = yo.
4
a) Determine how the behavior of the solution as t increases depends
on the initial value yo.
If yo> 0, then [Choose one
If yo<0, then Choose one
If yo0, then Choose one
b) Suppose that yo = 0.5. Find the time T at which the solution first
reaches the value 7.98.
NOTE: Round your answer to five decimal places.
T =
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