quick differential equation problem!! I have a test tomorrow?

SixnVsIx

New member
hey

suppose that x(t) is the particular solution to the following initial value problem

dx/dt = (x-2)(x-4)(6-x); x(0) =5

Then lim x(t) = ??
t to positive infinite

I know the answer would be 6 but how do i find that answer?? please show me the steps by steps and explanations! Thanks!
 
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