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

question 40

Multiple Choice

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) \(k = \frac { 5 } { 7 }\)

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