Show that x"(t) = k2x(t) if ,r(t) : A cosh.t/ + B sinhft,

Chapter 6, Problem 112

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Show that x"(t) = k2x(t) if ,r(t) : A cosh.t/ + B sinhft, where A and I are constalts. Determine A and B if (a) .r(0) : 1, .r/(0) = Q; (b) x(0) : 0, .r'(0) : 1

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