Math Problem Statement
A solution y(t) of the differential equation
y' = y3 -9y satisfies the initial condition y(0) = -1.5. Find lim y(t) as t approaches negative infinity
Solution
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Math Problem Analysis
Mathematical Concepts
Differential Equations
Equilibrium Points
Stability Analysis
Formulas
y' = y(y - 3)(y + 3)
Theorems
Stability of Equilibrium Points
Suitable Grade Level
Undergraduate (Calculus/Differential Equations Level)
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