# Laplace Transform

• Nov 29th 2010, 02:06 PM
nejam
Laplace Transform
Very stuck on a mock question i have for an exam and came across this forum wondered if anybody could help me out

question
i already have s +5/(s-2)^2(s+2) where Y(s)=L{y(t)}

now i need to express Y(s) in terms of its PartialFraction to show

Y(s) = 3/16 1/(s+1) - 3/16 1/(s-2) + 7/4 (s-2)^2

can any body help me at all
• Nov 29th 2010, 02:12 PM
CaptainBlack
Quote:

Originally Posted by nejam
Very stuck on a mock question i have for an exam and came across this forum wondered if anybody could help me out

question
i already have s +5/(s-2)^2(s+2) where Y(s)=L{y(t)}

now i need to express Y(s) in terms of its PartialFraction to show

Y(s) = 3/16 1/(s+1) - 3/16 1/(s-2) + 7/4 (s-2)^2

can any body help me at all

Do you mean:

\$\displaystyle Y(s)=\dfrac{s +5}{(s-2)^2(s+2)}\$

CB
• Nov 29th 2010, 02:56 PM
nejam
yea that what i ment i have now found a solution which was right under my nose all day feel stupid now but its sorted