Find the Laplace transform of the given differential equation with initial conditions dy - 3y e": y (0) = 1 dt S-1 s2-5s+6 s-2 $2-3s+6 S-1 $2-3s+6 S-5 $2-5s+6

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A: First note that:  F-1e-5ω=12π∫-∞∞e-5ωejωtdω                       =12π∫-∞0e5ωejωtdω+12π∫0∞e-5ωejωtdω…

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A: Given -3y''+4y'-4y=sina t Also given y0=-4,   y'0=-4   To transform the equation into an algebraic…

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A: Given y' = et ; y(0) = 2 As L{y′} = sY(s) − y(0)

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A: Hey there. Since you have sent more than one question we are bound to do just one question at a time…

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