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Find the Laplace transform of the function ( f(t) = e^{3t} cos(2t) ). Use the transform to solve the differential equation ( y - 6y

  • Find the Laplace transform of the function ( f(t) = e^{3t} \cos(2t) ). Use the transform to solve the differential equation ( y’’ - 6y’ + 13y = 0 ) with initial conditions ( y(0) = 0 ) and ( y’(0) = 1 ).
 

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