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

D'Alembert Method to solve Diff Eqns

  1. Mar 10, 2013 #1


    User Avatar
    Gold Member

    I understand why this is a good method, but in one of the problems I am trying I yield 4 unknown parameters in a second order differential equation. I believe I should only have 2.

    Let f(x) be a part of a homogeneous solution and and u(x) be some unknown function in x. Then a particular solution to the inhomogeneous eqn is y = f(x)u(x).
    Subbing this in to the differential eqn and cancelling, you get a differential eqn in u(x). Now then solving this will give more integration constants. I think this may be my problem.

    Is there a reason why we don't include integration constants at this stage?
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted