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Q2: Using Laplace transform find the solution of the IVP. Give all the details. a) y + 5y +4y=54e-202, y(0) = 1 y (0)

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Q2: Using Laplace transform find the solution of the IVP. Give all the details. a) y" + 5y +4y=54e-202, y(0) = 1 y (0) = 4 b) y" + 5y + 2y=78e - 16e*, y(0) > 1 y (0) = 7 c) y" + 3y + 5y = 69e* - 18ex, y(o) = 1, y (0) = 7 d) y" +2y +3y=54e*-18e*, y (0) = -1, y'(0) = 5 e) y" + 3y + 4y = 96e4x - 16 e*, y (0) = -1, y '(0)=8

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