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Given: dy/dx = 32-4y-y^2 Look for following answer A) Determine all equilibrium solutions B) Determine the intervals along y-axis whether the solution curves are increasing or decreasing C) Determine the intervals along y-axis whether the solution curves are concave up or concave down D) Sketch the solution curves in each region that been answered in part a b and c E) Determine whether the equilibrium solution is stable, unstable or semi stable.

Given: dy/dx = 32-4y-y^2 Look for following answer A) Determine all equilibrium solutions B) Determine the intervals along y-axis whether the solution curves are increasing or decreasing C) Determine the intervals along y-axis whether the solution curves are concave up or concave down D) Sketch the solution curves in each region that been answered in part a b and c E) Determine whether the equilibrium solution is stable, unstable or semi stable.

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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Given: dy/dx = 32-4y-y^2 Look for following answer A) Determine all equilibrium solutions B) Determine the intervals along y-axis whether the solution curves are increasing or decreasing C) Determine the intervals along y-axis whether the solution curves are concave up or concave down D) Sketch the solution curves in each region that been answered in part a b and c E) Determine whether the equilibrium solution is stable, unstable or semi stable.
Transcribed Image Text:Given: dy/dx = 32-4y-y^2 Look for following answer A) Determine all equilibrium solutions B) Determine the intervals along y-axis whether the solution curves are increasing or decreasing C) Determine the intervals along y-axis whether the solution curves are concave up or concave down D) Sketch the solution curves in each region that been answered in part a b and c E) Determine whether the equilibrium solution is stable, unstable or semi stable.
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