The critical point $( 0,2 )$ of the system $x ^ { \prime } = x ^ { 3 } - y ^ { 2 } + 4 , y ^ { \prime } = 5 x$ is a
A) stable node
B) unstable node
C) stable spiral point
D) unstable spiral point
E) center point

Question

Quizplus · Accepted Answer

The Answer of The critical point $( 0,2 )$ of the system $x ^ { \prime } = x ^ { 3 } - y ^ { 2 } + 4 , y ^ { \prime } = 5 x$ is a
A) stable node
B) unstable node
C) stable spiral point
D) unstable spiral point
E) center point

The Critical Point (0,2)( 0,2 )(0,2) Of the System x′=x3−y2+4,y′=5xx ^ { \prime } = x ^ { 3 } - y ^ { 2 } + 4 , y ^ { \prime } = 5 xx′=x3−y2+4,y′=5x

The Critical Point $( 0,2 )$ Of the System $x ^ { \prime } = x ^ { 3 } - y ^ { 2 } + 4 , y ^ { \prime } = 5 x$