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

the scale on a map indicates that 1 inch on the map corresponds to actual distance of 100 miles. two cities are 4.7 inches apart on the map. what is the actual

A library’s holdings include the following title: A Forgotten Kingdom, Being a Record of the results obtained from the excavation of two mounds, Atchana and Al

Which author portrayed upper-class Americans in his or her novels? a. Jack London b. Sarah Jewett c. Edith Wharton d. Stephen Crane

Every water molecule has two hydrogen atoms bonded to one oxygen atom. This fact supports the concept that elements in a compound are (1) chemically combined in

How did Samuel Morse revolutionize communication in the 1800s? a. He invented the telephone. b. He proved that steam could power machines. c. He invented the

The first battle of the Spanish-American War was fought in Havana, Cuba the Philippines Miami, Florida Puerto Rico

what is the name of the tallest man alive

If x+2y=1, and 2x +y=5, then x+y=

what is the quotient for 300 decide by 3

how many times greater is the 8 in 583,534 than the 8 in 417,018