In Exercises 15-22, solve the initial value problems us-ing Laplace transforms.t,0≤t≤ 2,15. y' + 3y = { }y (0) = 00,t> 216. y' - 4y = 5tu₁(t), y(0) = 117. y" + 4y' + 3y = e³t-3u₁ (t); y(0) = 0, y'(0) = 00 ≤t <3,[ Se',18"

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Advanced Engineering Mathematics

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Author:Erwin Kreyszig

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Chapter2: Second-order Linear Odes

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ing Laplace tra 15. y' + 3y = { t, 0, 0≤t≤2, t> 2 y (0) = 0