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

Method of Undetermined Coefficients

  1. Dec 18, 2007 #1
    I am looking for the form of a solution for a second order ODE with right hand side: x (sin x + 2)

    I'm thinking the form would be (Ax + B) sin(x) + (Cx + D) cos(x) + Ex + F. Does this seem correct?

    Thanks for any help or suggestions!
     
  2. jcsd
  3. Dec 19, 2007 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Have you tried it? That would tell you whether it is correct or not! If it is correct, you will get an answer. If it is not correct, you won't.

    Actually, it is impossible for us to tell because you haven't given us the homogeneous equation or its solutions. If sin(x) or cos(x) or x sin(x) or x cos(x) are already solutions to the homogenous equation, you will need to multiply (Ax+B)sin(x) and (Cx+ D)cos(x) by x again. If x or a constant is already a solution to the homogeneous equation, you will need to Ex2+ Fx.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Similar Discussions: Method of Undetermined Coefficients
Loading...