wo) - 2. y (0) = 2 (1 point) Use the Laplace transform to solve the following initial value problem:y" - 114 + 30y = 0,

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Wo 2 Y 0 2 1 Point Use The Laplace Transform To Solve The Following Initial Value Problem Y 114 30y 0 1 (29.45 KiB) Viewed 22 times

wo) - 2. y (0) = 2 (1 point) Use the Laplace transform to solve the following initial value problem:y" - 114 + 30y = 0, (1) First, using Y for the Laplace transform of y().le,Y - Cy). find the equation you get by taking the Laplace transform of the differential equation to obtain (2) Next solve for Y A (3) Npw write the above answer in its partial traction form, Y (NOTE: the order that you enter your answers matter so you must order your terms so that the first corresponds to a and the second to b, where a <b. Also note, for example that -2 < 1) B + 5-6 Y = (4) Finally apply the inverse Laplace transform to find y(t) y(1) =