Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

2nd Order ODE,Homogeneous,Non-Constant Coeff.

  1. Aug 15, 2009 #1
    Hi,

    I am trying to guess the solution for this i am sure the solution involves a ln(x) so that i can reduce the order to find the general solution but i just cant seem to find it... any suggestions ??

    [tex]\[
    (c_{o}+xk)y''+ky'=0\][/tex]

    with ths usual boundary conditions
    [tex]\[y\left(0\right)=y_{0}\qquad y\left(l\right)=y_{l}\]
    [/tex]

    c and k are constants and they are related
    here is the relation if it is of any additional help...
    [tex]\[
    \frac{c_{l}-c_{o}}{l}=k\][/tex]

    thanks a lot :)
     
  2. jcsd
  3. Aug 15, 2009 #2
    phew after some hits and misses got it finally :)

    [tex]\[
    y=ln\left(c_{o}+xk\right)\][/tex]

    seems to solve the equation...
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: 2nd Order ODE,Homogeneous,Non-Constant Coeff.
Loading...