For What Nonzero Values Of $k$ Does the Function $y = A \sin k t + B \cos k t$

question 11

Multiple Choice

For what nonzero values of $k$ does the function $y = A \sin k t + B \cos k t$ satisfy the differential equation $y ^ { \prime \prime } + 100 y = 0$ for all values of $A$ and $B$ ?

• A) \(k = 10\)
• B) \(k = - 100\)
• C) \(k = - 10\)
• D) \(k = 100\)
• E) \(k = 1\)

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