The following problem involves an equation of the form = f(y). dy dt 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 − 1)(y — 2), yo ≥ 0 - dt The function y(t) = 0 is no equilibrium solution at all. The function y(t) = 1 is Choose one The function y(t) = 2 is Choose one
The following problem involves an equation of the form = f(y). dy dt 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 − 1)(y — 2), yo ≥ 0 - dt The function y(t) = 0 is no equilibrium solution at all. The function y(t) = 1 is Choose one The function y(t) = 2 is Choose one
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Transcribed Image Text:Choose one
equilibrium solution at all.
an
asymptotically stable equilibrium solution.
an unstable equilibrium solution.
Transcribed Image Text:The following problem involves an equation of the form = f(y).
dy
dt
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 − 1)(y — 2), yo ≥0
dt
The function y(t) = 0 is
no equilibrium solution at all. ▼
The function y(t) = 1 is
Choose one
The function y(t) = 2 is
Choose one
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