For What Values of K Does the Function $y = \cos k t$

For what values of k does the function $y = \cos k t$ satisfy the differential equation $9 y ^ { \prime \prime } = - 25 y$ ?

A) $k = - \frac { 1 } { 5 }$
B) $k = \frac { 1 } { 5 }$
C) $k = \frac { 1 } { 7 }$
D) $k = - \frac { 5 } { 7 }$
E) $k = \frac { 5 } { 7 }$

Correct Answer:

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