# Thread: suppose that x(t) is particular solution...

1. ## suppose that x(t) is particular solution...

guys how do i solve this.
Suppose that x(t) is the particular solution to the following initial value problem..

dx/dt = x(x-2)(x+2)^2 , x(0) = 5.
Then lim as t--> +infinite x(t) = ?

2. It is an autonomous DE and the initial value is over the constant solution x=2, so dx/dt will be positive => the limit is plus infinity.

3. yeah thanks, i got it, there was nothing to solve, it was simply looking at teh graph and answering