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Unformatted text preview: y = G ( t, y ). Then the limiting value y L = lim t y ( t ) is an equilibrium solution. In fact, all equilibrium solutions can be found by nding constants y L such that G ( t, y L ) = 0 for all time t . Equilibrium solutions are easy to nd for autonomous equations: If G ( t, y ) = f ( y ) is independent of time, then an equilibrium solution satises f ( y L ) = 0 . Such solutions y L are called critical points for the function f ( y )....
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This note was uploaded on 11/30/2011 for the course MATH 366 taught by Professor Edraygoins during the Spring '09 term at Purdue UniversityWest Lafayette.
 Spring '09
 EdrayGoins
 Equations

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