Using partial fractions, find the time function (y(t)) of the following Laplace functions. (a) [Y(s)=frac{2}{s(s+2)}] (b) [Y(s)=frac{10}{s(s+1)(s+10)}]
Question:
Using partial fractions, find the time function \(y(t)\) of the following Laplace functions.
(a)
\[Y(s)=\frac{2}{s(s+2)}\]
(b)
\[Y(s)=\frac{10}{s(s+1)(s+10)}\]
(c)
\[Y(s)=\frac{2 s^{2}+s+1}{s^{3}-1}\]
(d)
\[Y(s)=\frac{3 s+2}{s^{2}+4 s+20}\]
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In all the four cases the given function is split into partial fractions and then inverse Laplace tr...View the full answer
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