The Critical Points of the System $x ^ { \prime } = x ^ { 3 } - y ^ { 3 } - 8 , y ^ { \prime } = 5 x$

question 25

Multiple Choice

The critical points of the system $x ^ { \prime } = x ^ { 3 } - y ^ { 3 } - 8 , y ^ { \prime } = 5 x$ are

• A) \(( 2,0 ) , ( 0,2 )\)
• B) \(( - 2,0 ) , ( 0 , - 2 )\)
• C) \(( 0,2 )\)
• D) \(( 0 , - 2 )\)
• E) none of the above

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