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For What Nonzero Values of K Does the Function y=Asin⁡kt+Bcos⁡kty = A \sin k t + B \cos k t

Question 4

Multiple Choice

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


A) k=10k = 10
B) k=−100k = - 100
C) k=−10k = - 10
D) k=100k = 100
E) k=1k = 1

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