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Consider the initial value problem y': = If yo<0, then Choose one ▼ If yo= 0, then Choose one ty(4 - y) " 3 a) Determine how the behavior of the solution as t increases depends on the initial value yo. If yo> 0, then Choose one y(0) = T = = yo. b) Suppose that yo= 0.5. Find the time T at which the solution first reaches the value 3.98. NOTE: Round your answer to five decimal places.

Consider the initial value problem y': = If yo<0, then Choose one ▼ If yo= 0, then Choose one ty(4 - y) " 3 a) Determine how the behavior of the solution as t increases depends on the initial value yo. If yo> 0, then Choose one y(0) = T = = yo. b) Suppose that yo= 0.5. Find the time T at which the solution first reaches the value 3.98. NOTE: Round your answer to five decimal places.

Advanced Engineering Mathematics
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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Consider the initial value problem y': = If yo<0, then Choose one ▼ If yo= 0, then Choose one ty(4 - y) " 3 a) Determine how the behavior of the solution as t increases depends on the initial value yo. If yo> 0, then Choose one y(0) = T = = yo. b) Suppose that yo= 0.5. Find the time T at which the solution first reaches the value 3.98. NOTE: Round your answer to five decimal places.
Transcribed Image Text:Consider the initial value problem y': = If yo<0, then Choose one ▼ If yo= 0, then Choose one ty(4 - y) " 3 a) Determine how the behavior of the solution as t increases depends on the initial value yo. If yo> 0, then Choose one y(0) = T = = yo. b) Suppose that yo= 0.5. Find the time T at which the solution first reaches the value 3.98. NOTE: Round your answer to five decimal places.
Choose one Choose one y becomes negatively unbounded. lim y = 4. t→∞ y = 0 for all t. y becomes positively unbounded. the 5.50. 02
Transcribed Image Text:Choose one Choose one y becomes negatively unbounded. lim y = 4. t→∞ y = 0 for all t. y becomes positively unbounded. the 5.50. 02
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