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use Laplace transformations to solve initial value problem x''+4x=cos(t), x(0)=0, x'(0)=0 set up the appropriate form...

use Laplace transformations to solve initial value problem

x''+4x=cos(t), x(0)=0, x'(0)=0

set up the appropriate form of a particular solution, do not determine coefficients,

y''+6y'+13y=e-3x cos2x

find the Laplace transformation of the following function

f(t)=4cos(2t) + 7t3 - 5e-3t

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