Which statements below are TRUE for this autonomous equation

Which statements below are TRUE for this autonomous equation dy/dt = 8(y^2 - 4)^2(y^2 + 2y) ? There are precisely three equilibrium solutions. y = 0 is an asymptotically stable equilibrium solution. y = -2 is an asymptotically stable equilibrium solution. Only (II) Only (I) and (III) Only (II) and (III) Only (I) and (II) All three are TRUE

Solution

There are three equalibrium solutions y =0, -2, 2

Option : D

 Which statements below are TRUE for this autonomous equation dy/dt = 8(y^2 - 4)^2(y^2 + 2y) ? There are precisely three equilibrium solutions. y = 0 is an asym

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