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Question: Solve the initial value problem 2x'' +x'-x =27 Cos2t +6 Sin 2t, x(0)=2 , x'(0)= -2 by using Laplace transform method.

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Definition 1.   Given any x 1  & x 2   from an interval  I with x 1 2  if f ( x 1 ) 2 ) then f ( x ) is increasing on I. 2.   Given any x 1  & x 2  from an interval

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