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dy dt = y(у — 4)(у — 8), до 20

dy dt = y(у — 4)(у — 8), до 20

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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dy = f(y). dt The following problem involves an equation of the form Sketch the graph of f(y) versus y, determine the critical (equilibrium) points, and classify each one as asymptotically stable or unstable. Draw the phase line, and sketch several graphs of solutions in the ty-plane. dy - = y(y — 4) (y - 8), - Yo≥ 0 dt The function y(t) = 0 is Choose one ▾ The function y(t) = 4 is Choose one ▾ The function y(t) = 8 is Choose one
Transcribed Image Text:dy = f(y). dt The following problem involves an equation of the form Sketch the graph of f(y) versus y, determine the critical (equilibrium) points, and classify each one as asymptotically stable or unstable. Draw the phase line, and sketch several graphs of solutions in the ty-plane. dy - = y(y — 4) (y - 8), - Yo≥ 0 dt The function y(t) = 0 is Choose one ▾ The function y(t) = 4 is Choose one ▾ The function y(t) = 8 is Choose one
Choose one Choose one an asymptotically stable equilibrium solution. no equilibrium solution at all. an unstable equilibrium solution.
Transcribed Image Text:Choose one Choose one an asymptotically stable equilibrium solution. no equilibrium solution at all. an unstable equilibrium solution.
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