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Consider the differential equation dy da The differential equation has an equilibrium solution at y = 0, at y = 1, and at y = Click for List If y(x) is the solution to the initial-value problem dy da then lim y(x) = Number 48 If we now think of y(x) as the solution to the initial-problem then lim y(x) = Number x48 = y(y-1)(y+5) dy da Number = y(y-1)(y+5) y(-5) = 2 =-y(y-1)(y+5) y(0) = 0 . The third equilibrium in that list can be classified as

Consider the differential equation dy da The differential equation has an equilibrium solution at y = 0, at y = 1, and at y = Click for List If y(x) is the solution to the initial-value problem dy da then lim y(x) = Number 48 If we now think of y(x) as the solution to the initial-problem then lim y(x) = Number x48 = y(y-1)(y+5) dy da Number = y(y-1)(y+5) y(-5) = 2 =-y(y-1)(y+5) y(0) = 0 . The third equilibrium in that list can be classified as

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 differential equation dy da =-y(y - 1)(y + 5) The differential equation has an equilibrium solution at y = 0, at y = 1, and at y = Number Click for List If y(x) is the solution to the initial-value problem dy da then _lim y(x) = Number X18 If we now think of y(x) as the solution to the initial-problem then lim y(x) = Number x-x = =-y(y-1)(y+5) y(-5) = 2 dy da -y(y-1)(y+5) y(0) = 0 . The third equilibrium in that list can be classified as
Transcribed Image Text:Consider the differential equation dy da =-y(y - 1)(y + 5) The differential equation has an equilibrium solution at y = 0, at y = 1, and at y = Number Click for List If y(x) is the solution to the initial-value problem dy da then _lim y(x) = Number X18 If we now think of y(x) as the solution to the initial-problem then lim y(x) = Number x-x = =-y(y-1)(y+5) y(-5) = 2 dy da -y(y-1)(y+5) y(0) = 0 . The third equilibrium in that list can be classified as
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