1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Help with ODE

  1. May 8, 2006 #1
    Hi ,
    please can I have your help?

    x^2+2 and x^2-2 are fundamental set of solutions of a second order ODE. find the ODE.
    form:y''+p(x) y'+ q(x) y=0.

    I tried to replace the two solutions in the equation but because those solutions have exact same first and second derivatives, I found p(x)=q(x)=0 !!!!

    Can you help me to find p(x) and q(x)?
    Thank you
  2. jcsd
  3. May 9, 2006 #2


    User Avatar
    Homework Helper

    Try again. Write out the two equations you get and solve for p and q as if they were variables and x was a constant. The two equations will be identical except for the factor in front of q (ie, y), since the two solutions only differ in their constant term (so that all their derivatives will be equal).
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Help with ODE
  1. ODE help (Replies: 9)

  2. ODE Help (Replies: 3)

  3. ODE Help (Replies: 1)

  4. Help with ODE (Replies: 4)

  5. Help with solving ode (Replies: 1)