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Mathematics, 04.02.2020 23:02 SKYBLUE1015

(a) for what values of k does the function y = cos kt satisfy the differential equation 4y" = -25y? (b) 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.

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(a) for what values of k does the function y = cos kt satisfy the differential equation 4y" = -25y?...
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