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ZILLDIFFEQ9 10.2.010.

Classify the critical point (0, 0) of the given linear system by computing the trace r and determinant A and using the figure.

X'= -9x + 3y

y' = 6x - 5y

O center

Stable node

unstable node

O stable spiral

O unstable spiral

Osaddle

Ostable node

Degenerate

stable node

O degenerate unstable

node

O degenerate stable node

PREVIOUS ANSWERS

2

Stable

spiral

80

44

Unstable

spiral

T²-44 <0

Center

Saddle

T²=4A

Unstable node

Degenerate

unstable node

ZE

DII

il

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