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Let R be the relation on S = {1, 3, 6, 9, 27} defined by aRb iff a|b.
(a) Write down the matrix of R.
(b) Draw the digraph of R.
(c) Explain whether R is reflexive, irrereflexive, symmetric, antisymmetric, transitive. Describe!
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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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