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}]
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)
\[Y(s)=\frac{3 s+2}{s^{2}+4 s+20}\]
Step by Step Solution
★★★★★
3.40 Rating (150 Votes )
There are 3 Steps involved in it
1 Expert Approved Answer
Step: 1 Unlock
In all the four cases the given function is split into partial fractions and then inverse Laplace tr... View full answer
Question Has Been Solved by an Expert!
Get step-by-step solutions from verified subject matter experts
Step: 2 Unlock
Step: 3 Unlock