Question

First solve the equation f(x)=0 to find the critical points of the given autonomous differential equation dx/dt=f(x). Then analyze the sign of f(x) to determine whether each critical point is stable or unstable, and construct the corresponding phase diagram for the differential equation. Next solve the differential equation explicitly for x(t) in terms of t.

Answer 1

@ganeshie8

Answer 2

I worked the problem out, but the answer I got isn't exactly the same as the solution in the back of the text book

Answer 3

@Zarkon