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Laplace Transform question

  1. Nov 23, 2012 #1
    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)
     
  2. jcsd
  3. Nov 23, 2012 #2

    LCKurtz

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