The Values Of $c$ That Make the System $\frac { d x } { d t } = 3 x + 2 y , \frac { d y } { d t } = - c x + y$

question 38

Multiple Choice

The values of $c$ that make the system $\frac { d x } { d t } = 3 x + 2 y , \frac { d y } { d t } = - c x + y$ stable are

• A) \(c > - 3 / 2\)
• B) \(c < - 3 / 2\)
• C) It is stable for all values of \(c\) .
• D) It is unstable for all values of \(c\) .
• E) \(c > 0\)

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