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Mathematics, 16.02.2020 05:33 AnNguyen

For those values of k, verify that every member of the family of functions
y = A sin(kt) + B cos(kt)
is also a solution.
y = A sin(kt) + B cos(kt) ⇒ y' = Ak cos(kt) − Bk sin(kt) ⇒ y'' = −Ak2 sin(kt) − Bk2 cos(kt).

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For those values of k, verify that every member of the family of functions
y = A sin(kt) + B...
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