I am stuck with another one --
Assume that f(x) has the following graph: (for graph please see the attachment)
Consider the (1-dimensional) ODE:
X’ = f(x):
(a) Find all the xed points, and study their stability.
(b) Draw the phase portrait of the system, as well as the graphs of the...
I need help with the following so please help me --
Consider the following non-linear system
X’ = x² - ay
Y’ = y² - y(a) Find the fixed points of this system. (depending on a, there may be different fixed points!)
(b) Study stability of each fixed point via linearization. In the case the...
I have another question so please help me. here we go --
Consider the following linear system of ODE :
X’ = -x – y
Y’ = x + 3y
Z’ = 4x + 6y - z
Note that the matrix of this system is exactly the same as
A = [ 1 -1 0
1 3 0
4 6 -1 ]
(a) Study the stability of the fixed...