4- 11 3110 . 2. --- 1 Y 0 -1 -2 -3 -3 -2 -1 0 1 2 3 4 The picture shows a computer-generated slope field of the equation y' = 0.1(y³ – 3y? – 10y + 24). (a) Find equilibrium points of this equation and study their stability (you may use the picture). (b) Given that y is a solution with y(0) = 0, find lim, +∞ Y(x). Explain your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The picture shows a computer-generated slope field of the equation y' = 0.1(y3 – 3y2 – 10y + 24).
(a) Find equilibrium points of this equation and study their stability (you may use the picture).
(b) Given that y is a solution with y(0) = 0, find lim, →+∞ Y(x). Explain your answer.
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Transcribed Image Text:4 -- 3 2 1 -1 -2 -3 -3 -2 -1 0 1 2 3 4 The picture shows a computer-generated slope field of the equation y' = 0.1(y3 – 3y2 – 10y + 24). (a) Find equilibrium points of this equation and study their stability (you may use the picture). (b) Given that y is a solution with y(0) = 0, find lim, →+∞ Y(x). Explain your answer. %3|
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