Results 1 to 3 of 3

Math Help - An integration step in PDE by Laplace transform method

  1. #1
    Junior Member
    Joined
    Mar 2011
    Posts
    72

    An integration step in PDE by Laplace transform method

    I am stuck with an integration step in solving a PDE by Laplace transform.

    The integration is \int e^{\frac{s x^2}{2}} \frac{x}{s} dx = \frac{1}{s^2} e^{\frac{s x^2}{2}}. How is the integral obtained? I want to use integration by parts but I don't know how to integrate e^{\frac{sx^2}{2}}.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,356
    Thanks
    36

    Re: An integration step in PDE by Laplace transform method

    Let u = \frac{sx^2}{2}. The integration will come out fine!
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Mar 2011
    Posts
    72

    Re: An integration step in PDE by Laplace transform method

    Thank you. That worked.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Laplace transform with heaviside step function
    Posted in the Differential Equations Forum
    Replies: 27
    Last Post: July 14th 2012, 12:46 AM
  2. [SOLVED] Find laplace transform of step function
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: August 13th 2011, 11:15 AM
  3. Help with unit step function and laplace transform
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: May 15th 2011, 01:56 PM
  4. Replies: 1
    Last Post: March 6th 2011, 06:41 AM
  5. Laplace Transform/Unit Step Func.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 12th 2007, 02:50 PM

/mathhelpforum @mathhelpforum