Results 1 to 4 of 4

Math Help - Solving a simple second order DE

  1. #1
    Newbie
    Joined
    Aug 2012
    From
    Istanbul
    Posts
    18

    Angry Solving a simple second order DE

    How do I solve this

    f''(x) +(1/2x) f'(x) + f(x) =0 ??

    How do I start it?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Siron's Avatar
    Joined
    Jul 2011
    From
    Norway
    Posts
    1,250
    Thanks
    20

    Re: Solving a simple second order DE

    It looks easy but it's not because of the coefficient \frac{1}{2}x.
    Take a look here:
    solve y''+(1/2 x)y'+y=0 - Wolfram|Alpha
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member MaxJasper's Avatar
    Joined
    Aug 2012
    From
    Canada
    Posts
    482
    Thanks
    54

    Lightbulb Re: Solving a simple second order DE

    If that is \frac{1}{2x} then:

    f(x)=c_1 \sqrt[4]{x} J_{\frac{1}{4}}(x)+c_2 \sqrt[4]{x} Y_{\frac{1}{4}}(x)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Aug 2012
    From
    Istanbul
    Posts
    18

    Re: Solving a simple second order DE

    WTF?

    How do I do it on paper?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Simple first order diff. eq
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: May 28th 2011, 04:20 AM
  2. non homogeneous second order, should be simple
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: February 24th 2010, 06:16 PM
  3. Simple second order d.e.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 3rd 2009, 08:47 AM
  4. Simple Group order 168
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 2nd 2008, 06:02 PM
  5. Simple one on first-order linear DEs
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 23rd 2008, 11:32 AM

Search Tags


/mathhelpforum @mathhelpforum