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) $k = 1$

Question

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) $k = 1$

Quizplus · Accepted Answer

The Answer of 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) $k = 1$

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

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