Results 1 to 3 of 3

Math Help - PDE problem

  1. #1
    Newbie
    Joined
    May 2008
    Posts
    6

    PDE problem

    I'm following an example for the separation of varibales method from a book and they went from
    Y_1 '' -pi^2 Y_1 = 0
    Y_2 '' -4pi^2 Y_2 = 0

    to
    Y_1 (y) = Acosh(pi*y) + B_1 sinh(2pi*y)
    Y_2 (y) = A_2 cosh(2pi*y) + B_2 sinh(2pi*y)

    Can someone explain how they made that jump?

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member wingless's Avatar
    Joined
    Dec 2007
    From
    Istanbul
    Posts
    585
    General solution to the differential equation y''= k \cdot y is,

    y = A \cosh (\sqrt{k} x) + B \sinh (\sqrt{k} x)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2008
    Posts
    6
    Thanks!
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum