9. dy/dt = y²(y² - 1), -∞ < Yo <∞

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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9. dy/dt = y²(y² - 1),
< Yo<
Transcribed Image Text:9. dy/dt = y²(y² - 1), < Yo<
Problems 8 through 13 involve equations of the form dy/dt = f(y). In each problem sketch the graph of
f(y) versus y, determine the critical (equilibrium) points, and classify each one as asymptotically stable,
unstable, or semistable. Draw the phase line, and sketch several graphs of solutions in the ty-plane.
Transcribed Image Text:Problems 8 through 13 involve equations of the form dy/dt = f(y). In each problem sketch the graph of f(y) versus y, determine the critical (equilibrium) points, and classify each one as asymptotically stable, unstable, or semistable. Draw the phase line, and sketch several graphs of solutions in the ty-plane.
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