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

Question

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

Quizplus · Accepted Answer

The Answer of 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) $k = \frac { 5 } { 7 }$

For What Values of K Does the Function y=cos⁡kty = \cos k ty=coskt

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