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3. Given the differential equation, y' = (y+1)(y - 5y+6) a. Graph f(y) vs y, where on the axes below (where f(y)=y') ^ f(y) b. Determine the exact y - value(s) of any and all equilibrium points. c. Classify each equilibrium point from part (a) as stable, semi-stable or unstable. (Be sure to explain how you arrived at these classifications.

3. Given the differential equation, y' = (y+1)(y - 5y+6) a. Graph f(y) vs y, where on the axes below (where f(y)=y') ^ f(y) b. Determine the exact y - value(s) of any and all equilibrium points. c. Classify each equilibrium point from part (a) as stable, semi-stable or unstable. (Be sure to explain how you arrived at these classifications.

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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3. Given the differential equation, y' =(y+1)(y² – 5y+6) a. Graph f(y) vs y, where on the axes below (where f(y)= y' ^ f(y) →y b. Determine the exact y - value(s) of any and all equilibrium points. c. Classify each equilibrium point from part (a) as stable, semi-stable or unstable. (Be sure to explain how you arrived at these classifications. d. Label each equilibrium point on the above graph.
Transcribed Image Text:3. Given the differential equation, y' =(y+1)(y² – 5y+6) a. Graph f(y) vs y, where on the axes below (where f(y)= y' ^ f(y) →y b. Determine the exact y - value(s) of any and all equilibrium points. c. Classify each equilibrium point from part (a) as stable, semi-stable or unstable. (Be sure to explain how you arrived at these classifications. d. Label each equilibrium point on the above graph.
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