ty(7- y) Consider the initial value problem y' = y(0) = yo. 2 4 a) Determine how the behavior of the solution as t increases depends on the initial value yo. If yo> 0, then lim y = 7. If yo<0, then lim y = 7. If yo = 0, then y = 0 for all t. b) Suppose that yo = 0.5. Find the time T at which the solution first reaches the value 6.98. NOTE: Round your answer to five decimal places. T = 00-7
ty(7- y) Consider the initial value problem y' = y(0) = yo. 2 4 a) Determine how the behavior of the solution as t increases depends on the initial value yo. If yo> 0, then lim y = 7. If yo<0, then lim y = 7. If yo = 0, then y = 0 for all t. b) Suppose that yo = 0.5. Find the time T at which the solution first reaches the value 6.98. NOTE: Round your answer to five decimal places. T = 00-7
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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pls answer a and b
Transcribed Image Text:ty(7- y)
Consider the initial value problem y'
=
y(0) = yo.
2
4
a) Determine how the behavior of the solution as t increases depends
on the initial value yo.
If yo> 0, then lim y = 7.
If yo<0, then lim y = 7.
If yo = 0, then y = 0 for all t.
b) Suppose that yo = 0.5. Find the time T at which the solution first
reaches the value 6.98.
NOTE: Round your answer to five decimal places.
T =
00-7
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