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

question 32

Multiple Choice

For what values of $k$ does the function $y = \cos k t$ satisfy the differential equation $49 y ^ { \prime \prime } = - 81 y$ ?

• A)
• \[k = - \frac { 1 } { 9 }\]
• B) \(k = \frac { 1 } { 9 }\)
• C)
• \[k = - \frac { 9 } { 7 }\]
• D) \(k = \frac { 1 } { 7 }\)
• E) \(k = \frac { 9 } { 7 }\)

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