4. Let the initial value problem y" +4y 2t, y(0) = (0) = 0 %3D %3D be given, and let Cly(t)] = F(s). %3D a) Find F(s) by applying the Laplace transform to the both sides of the given differential equat b) Find L-(F(s)].

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A: We can apply fundamental theorem of calculus here.  The second fundamental theorem of calculus…

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: y' – y = 2te',

A: Laplace transform: L(y'(t))=py(p)-y(0) L(y(t))=y(p) L(2tet)=2(p-1)2

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