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I Laplace transform using differential equations

  1. Jun 20, 2016 #1
    Hi members,

    Laplace transform using differential equations.(see attached PDF file)

    My question d/ds(s^2 y- s Y(0)-Y'(0).).......
    Y(t)=sin(sqrt(t)) Y(o)=0
    Now Y'= cos(sqrt(t)/2sqrt(t) Y'(0)=infinity

    d/ds (Y'(0)=?? can it be treated as a constant or can we change limit and differentiation??I don't think so.
    like d/ds (cos(sqrt(t))/2sqrt(t)=0

    Thank you

    Attached Files:

  2. jcsd
  3. Jun 20, 2016 #2


    Staff: Mentor

    Y(0) and Y'(0) are constants, so their derivatives are both zero.
  4. Jun 21, 2016 #3
    Hello Mark 44,

    If I understand it,Y'(0)=infinity.Here infinity can be treated as a constant.

    Thank you
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