Results 1 to 3 of 3

Thread: Inverse Laplace Transform

  1. #1
    Super Member
    Joined
    Jan 2009
    Posts
    715

    Inverse Laplace Transform

    Find the inverse laplace transform :

    $\displaystyle F(s) = \sqrt{ s + \sqrt{1+s^2}}$
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Jan 2009
    Posts
    105
    Quote Originally Posted by simplependulum View Post
    Find the inverse laplace transform :

    $\displaystyle F(s) = \sqrt{ s + \sqrt{1+s^2}}$
    Has this arisen from a problem you're working on or have you been asked point blank to find it?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Aug 2008
    Posts
    903
    Quote Originally Posted by simplependulum View Post
    Find the inverse laplace transform :

    $\displaystyle F(s) = \sqrt{ s + \sqrt{1+s^2}}$
    If you mean Bromwich style, then look at this one first:

    $\displaystyle \mathop\oint\limits_{H} e^{st}\sqrt{1+s^2}\,ds$ where $\displaystyle H$ is the contour below. It doesn't matter if this one doesn't have an inverse transform. Just first figure out how the integrand varies across the (finite) red-blue and yellow-green branch-cuts and also the remaining parts of the contour. Then try and extend that work to $\displaystyle F(s)$ above. However, this may not be the best contour to use.
    Attached Thumbnails Attached Thumbnails Inverse Laplace Transform-h-contour.jpg  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Inverse Laplace Transform
    Posted in the Calculus Forum
    Replies: 3
    Last Post: Nov 30th 2011, 10:52 PM
  2. Inverse Laplace Transform
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Dec 25th 2010, 10:14 PM
  3. Inverse Laplace Transform.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Dec 2nd 2008, 04:49 AM
  4. inverse laplace transform
    Posted in the Calculus Forum
    Replies: 3
    Last Post: Mar 29th 2008, 11:41 PM
  5. Inverse Laplace Transform
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Aug 7th 2007, 04:33 PM

Search Tags


/mathhelpforum @mathhelpforum