Equilibrium Solutions

Tutoring on Equilibrium Solutions

Learning Objectives:

Understand and apply Equillibrium Solutions

Math Tutoring on Equilibrium Solutions

Autonomous Differential Equations:

A Differential Equation in the form –

·       The Equilibrium Solution occur where dP/dt = 0.

·       The Independent Variable ‘t, only appears in the derivative.

·       If dP/dt > 0, P is increasing and if dP/dt < 0, P is decreasing.

Logistic Growth Model:

Solution –

 

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Hook Questions:

1.   How Equilibrium Solution is obtained for an Autonomous Differential Equation?

2.    Define Logistic Growth Model of population.

 

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