Solve the following initial value problem using Laplace transform: d'y dy dt² 11- +30y = 2e-³t, y(0) = -1/4, dt Let Y(s) be the Laplace transform of the solution y(t). Then evaluate Y(-1/4). y(-1/4). Y(-1/4) y(-1/4)= dy dt -lt-o = 5

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Q: Use the Laplace transform to solve the following initial-value problem for a first-order equation.…

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Q: 6) Use a Laplace Transform to solve. y(4) - 4y(3) + 6y" -4y' + y = 0; y(0) = 0, y'(0) = 1, y"(0) =…

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Q: solve: y" - Hý + 4y = 4szt; y(0)=2₁ y(a)=5 using Laplace transform

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Q: ý + 16y = 8 (t – ) sin (2t), y(0) = 0, ÿ(0) = 0

A: The solution is given by using some formulas of Laplace transform as follows :

Q: 8. Solve using Laplace transform: y" + 2y – 3y = 8e¬t + 8 (t – ), y(0) = 3, y' (0) = –5.

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Q: Use the Laplace transform to solve y' - v = te'sint, y(0) = 0

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