Results 1 to 2 of 2

Math Help - Find one solution of the differential eqn

  1. #1
    Newbie
    Joined
    Apr 2009
    Posts
    13

    Find one solution of the differential eqn

    Here is the question:

    Use a change of independent variable to find ONE solution of

    y''(t) + e^(2t)y(t) = 0

    in terms of the Bessel Function of order 0.

    I'm not sure where to start or where the Bessel function comes in.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,347
    Thanks
    30
    Quote Originally Posted by sarah232 View Post
    Here is the question:

    Use a change of independent variable to find ONE solution of

    y''(t) + e^(2t)y(t) = 0

    in terms of the Bessel Function of order 0.

    I'm not sure where to start or where the Bessel function comes in.
    With your equation, I might divide by e^{2t} which gives

    \frac{1}{e^{2t}} y'' + y = 0 or e^{-2t} y'' + y = 0 then try letting x = e^{t} .
    Last edited by Jester; April 29th 2009 at 04:23 AM. Reason: changed sign on exp.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Find the particular solution of the differential equation
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: November 15th 2010, 01:29 AM
  2. Find a differential equation given solution
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: September 20th 2010, 11:15 PM
  3. To find a solution to this Differential Equation?
    Posted in the Differential Equations Forum
    Replies: 5
    Last Post: February 17th 2010, 01:43 PM
  4. Find the second solution of a differential equation
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: June 24th 2008, 08:10 AM
  5. Find the general solution for the differential equation
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: June 14th 2008, 04:00 AM

Search Tags


/mathhelpforum @mathhelpforum