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(1 point) Use the Laplace transform to solve the following initial value problem: y + 25y = cos(6t) y/(0) = 0, U'(0) = 0 First,

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(1 point) Use the Laplace transform to solve the following initial value problem: y" + 25y = cos(6t) y/(0) = 0, U'(0) = 0 First, using Y for the Laplace transform of y(t), l.e., Y = Cty(t) }. find the equation you get by taking the Laplace transform of the differential equation and solving for Y: Y(s) = Find the partial fraction decomposition of Y(s) and its inverse Laplace transform to find the solution of the IVP: y( t) =]

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