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dy Consider the one-parameter family of autonomous differential equations y(ey² +k + r) where k= 3.6 is a given constant and r is the parameter. At what value of the parameter r does a bifurcation occur? Round your final answer to three places after the decimal- do not round prematurely.

dy Consider the one-parameter family of autonomous differential equations y(ey² +k + r) where k= 3.6 is a given constant and r is the parameter. At what value of the parameter r does a bifurcation occur? Round your final answer to three places after the decimal- do not round prematurely.

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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Question 3 Consider the one-parameter family of autonomous differential equations +r) where k= 3.6 is a given constant and r is the parameter. dt At what value of the parameter r does a bifurcation occur? Round your final answer to three places after the decimal- do not round prematurely.
Transcribed Image Text:Question 3 Consider the one-parameter family of autonomous differential equations +r) where k= 3.6 is a given constant and r is the parameter. dt At what value of the parameter r does a bifurcation occur? Round your final answer to three places after the decimal- do not round prematurely.
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