13 - Differential equations

Question 1

If both eigenvalues are positive then:

Answer 1

The fixed point is an UNSTABLE point

Question 2

If both eigenvalues are negative then:

Answer 2

The fixed point is a STABLE point

Question 3

If one eigenvalue is negative and one positive then:

Answer 3

The fixed point is a SADDLE point

Question 4

Stable point:

Answer 4

Two negative eigenvalues

Question 5

Unstable point:

Answer 5

Two positive eigenvalues

Question 6

Saddle point:

Answer 6

One positive and one negative eigenvalue