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Laplace Transform question

by ehanes7612
Tags: laplace, transform
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ehanes7612
#1
Nov23-12, 01:40 AM
P: 3
this one stumped me..

d^2y/dt^2 +ωy=ksin((√ω)t)

y(∏/4)=0, y'(∏/4)=0

the left hand side is easy and i understand that i need to convert T=t-∏/4, therefore replace t with T+∏/4..but the (√ω) throws me off ..tried trig identities but just gets more complicated

→ (s^2 + ω)U(s)= LT {ksin((√ω)(T+∏/4)} is as far as i can get (i know what to do with the left hand side once i get the LT of the right hand side but i dont know what to do with the sin value)
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LCKurtz
#2
Nov23-12, 02:52 PM
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This is a duplicate thread to

http://www.physicsforums.com/showthread.php?t=654194


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