Question

How do you prove true if y(t) satisfies the initial value problem y'=3y^2(y-2) y(2)=1 then y(t)-->0 as t goes to infinity?

Answer 1

do I solve for the general solution?

Answer 2

Can't think of another way.

Answer 3

or prove false, it's a true or false question. What was your original way?

Answer 4

Solve the differential equation and then see if the limit does go to zero as t goes to infinity or not.

Answer 5

You know it's separable, so it's not difficult to solve.

Answer 6

But I feel like there's an easier approach.

Answer 7

oh yeah okay thanks! I think that's the best way