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?

Respuesta :

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]

Answer Link

Otras preguntas

Which statements about the Flatiron Building by Daniel Burnham are true? Choose all answers that are correct. A. Its original name is the Fuller Building, but i

El buque se alejó ____________ a toda vela.

the human genome project

The Earliest Civilization Known To Exist In The Andes Region Was The :

Isaac went scuba diving. He swam down 20 feet to look at some coral, and then swam 15 feet deeper to take a closer look at a clownfish. What integer represents

How do similarities in the bones of humans, dolphins, horses, and birds provide evidence for evolution?

Maria's manager asked her to print a certain document for their meeting. It took her so long to find the file that she was late for the meeting. What should Mar

If your company’s product kills someone – e.g defective airbag – then you should pay more compensation the more the victim earns?

Habeas Corpus was an Enlightenment text that influenced the creation of American government. Is this statement true or false?

The desired outcome for Basque nationalists in Spain is A) limited local autonomy B) complete independence C) the removal of Spanish troops D) a ceas