Find the time response y(t) for these three systems. Use Laplace transformation and Partial fraction expansion. Note the Input u(t) = 1(t) and that all initial conditions are all zero. Thank you!

$Y(s)=\frac{1}{s^{2}+6 s+16} U(s) \) $ Y(s)=\frac{1}{s^{2}+8 s+16} U(s) $ \( Y(s)=\frac{1}{s^{2}+16} U(s)$

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Find the time response y(t) for these three systems. Use Laplace transformation and Partial fraction expansion. Note the Input u(t) = 1(t) and that all initial conditions are all zero. Thank you!

$Y(s)=\frac{1}{s^{2}+6 s+16} U(s) \) $ Y(s)=\frac{1}{s^{2}+8 s+16} U(s) $ \( Y(s)=\frac{1}{s^{2}+16} U(s)$

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