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 – 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, 400 Y(z). Explain your answer. +H00

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 – 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, 400 Y(z). Explain your answer. +H00

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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Differential Equations

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-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, ,00 Y(x). Explain your answer.

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