y = 5 cos kt
y' = −5k sin kt
y'' = −5k² cos kt
25 y'' = −9y
25 (−5k² cos kt) = −9(5 cos kt)
−125k² cos kt = −45 cos kt
k² = 45/125 = 9/25
k = ± 3/5
🐸
false
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Verified answer
y = 5 cos kt
y' = −5k sin kt
y'' = −5k² cos kt
25 y'' = −9y
25 (−5k² cos kt) = −9(5 cos kt)
−125k² cos kt = −45 cos kt
k² = 45/125 = 9/25
k = ± 3/5
🐸
false