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 nation is considered part of northern and western Europe? Austria, Norway, Greece or Portugal

Why do convection currents form

round 63,849 to the nearest ten, to the nearest hundred, to the nearest thousand,and the nearest ten thousand

What happens to energy that isn't transferred to the next trophic levels?

Last year your town invested a total of $25,000 into two Separate funds. The return on one fund was 4% and the return on Te other fund was 6%. If the town earne

Witch number is a factor of 8 but not a multiple of 4

A town has accumulated 4in of snow and the snow depth is increasing by 6in every hour a nearby town has accumulated 8in and the depth is increasing by 2in every

which of the following SI or metric units is a base unit? 1.pascal 2.newton 3.ampere 4.joule I think it would be ampere. if you have the answer can you please

Solve by factoring the equation x^2+36=12x

A town has accumulated 4in of snow and the snow depth is increasing by 6in every hour a nearby town has accumulated 8in and the depth is increasing by 2in every