3. Solve each of the following IVP by the Laplace transform method: a. y" - 4 y' = 6 e³- 3 e* y(0) = 1 Y(0) = - 1 b. y" +0.04 y = 0.02t² y(0) = -25 y(0) = 0 c. y" +2y' + 5y = 50t - 100 y (2) = -4 y (2) = 14 d. 2y" - 4y' - 6 y= 3 e y (0) = 3 y (0) = 3.5

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