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If y(0) - 1, then as t increases y(t) approaches If y(0) = 0, then as t increases y(t) approaches If y(0) = 2, then as t increases y(t) approaches

If y(0) - 1, then as t increases y(t) approaches If y(0) = 0, then as t increases y(t) approaches If y(0) = 2, then as t increases y(t) approaches

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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Autonomous equation differential equation please help asappp
Consider the differential equation If y(0) Use a phase-line analysis to find the long-term behavior of y(t) for each of the following given initial conditions. If the answer is infinite, enter oo for ∞ or - 00 for ·∞. If y(0) = If y(0) If y(0) = dy dt If y(0) = 0, then as t increases y(t) approaches = = 12y – 3y². = = 2, then as t increases y(t) approaches - - 1, then as t increases y(t) approaches 4, then as t increases y(t) approaches 6, then as t increases y(t) approaches
Transcribed Image Text:Consider the differential equation If y(0) Use a phase-line analysis to find the long-term behavior of y(t) for each of the following given initial conditions. If the answer is infinite, enter oo for ∞ or - 00 for ·∞. If y(0) = If y(0) If y(0) = dy dt If y(0) = 0, then as t increases y(t) approaches = = 12y – 3y². = = 2, then as t increases y(t) approaches - - 1, then as t increases y(t) approaches 4, then as t increases y(t) approaches 6, then as t increases y(t) approaches
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