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1. Solve the initial value problem 7 :cy' = my + 136$ sin3(:c) cos2 (1'), y(0) = 15. 2. Let f (:c) = / etzdt.

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1. Solve the initial value problem 7 :cy' = my + 136$ sin3(:c) cos2 (1'), y(0) = 15. 2. Let f (:c) = / etzdt. Express y as a function of :1: (in terms of f(3:)) if y satises the 0 initial value problem 2 f(:1:)y' = 1 6"\" y, y(0) = 2. Note: Do not try to simplify f (m) by integrating

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