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3. (15pt) Use Laplace transform to solve the differential equation: d20 do +8 +160 = 2 sin 2t cos 4t dt2 dt given that

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3. (15pt) Use Laplace transform to solve the differential equation: d20 do +8 +160 = 2 sin 2t cos 4t dt2 dt given that do 0 = 0 and 0 when t=0

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