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Question: 1s 6 prove that if f is a twice continuously...

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1S 6. Prove that if f is a twice continuously differentiable function on R which is a solution of the equation f(t) f(t) 0, then there exist constants a and b such that f (t)- a cos ct b sin ct. This can be done by differentiating the two functions g(t) = f(t) cos ct-c 1 and h(t)- f (t) sin ct + cf(t) cos ct. (t) sin ct

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