luzmaria589 luzmaria589

24-01-2017
Mathematics

contestada

Consider the differential equation
dy/dt = y^3-y^2-12y

a) For what values of y is y(t) in equilibrium?

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wizard123 wizard123

24-01-2017

y(t) is in equilibrium when its rate of change is zero.
Set dy/dt = 0, solve for y:

[tex]y^3 -y^2 -12y = 0 \\ \\ y(y-4)(y+3) = 0 \\ \\ y = 0,4,-3[/tex]

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