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) $c 0$

Question

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) $c > 0$

Quizplus · Accepted Answer

The Answer of 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) $c > 0$

The Values Of ccc That Make the System dxdt=3x+2y,dydt=−cx+y\frac { d x } { d t } = 3 x + 2 y , \frac { d y } { d t } = - c x + ydtdx​=3x+2y,dtdy​=−cx+y

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