Solution Found!
Suppose that a two-dimensional system dY/dt = F(Y) has
Chapter , Problem 9(choose chapter or problem)
QUESTION:
Suppose that a two-dimensional system dY/dt = F(Y) has exactly one equilibrium point and that point is a source. Describe two different possible long-term behaviors for a solution with an initial condition that is near the equilibrium point.
Questions & Answers
QUESTION:
Suppose that a two-dimensional system dY/dt = F(Y) has exactly one equilibrium point and that point is a source. Describe two different possible long-term behaviors for a solution with an initial condition that is near the equilibrium point.
ANSWER:Step 1 of 2
Suppose equilibrium point be and the initial point be .
Determine the long term behaviour of the solution as follows:
When then it gives:
as
And as