The Fixed Points of the Autonomous Non-Linear System Are

The fixed points of the autonomous non-linear system are given byA(0, 0) , B(0, 4) , C(3, 0) , and D(1, 2) . Determine the nature and stability of the four fixed points of the system.

A) stable node at A , unstable node at B , saddle point at C, and stable focus at D
B) saddle point at A , saddle point at B , centre at C, and stable node at D
C) unstable node at A , stable node at B , stable node at C, and saddle point at D
D) stable focus A , unstable node at B , saddle point at C, and unstable focus a D
E) centre at A , saddle points at B and D, and unstable focus at C