1. Limited time only! Sign up for a free 30min personal 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!

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


    User Avatar
    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

Similar Threads - Method Undetermined Coefficients Date
Method of undetermined coefficients -- Help please Mar 17, 2018
Method of undetermined coefficients Mar 11, 2018
Method of Undetermined Coefficients Oct 6, 2017
Method of Undetermined Coefficients Feb 27, 2017
Undetermined coefficient method Oct 17, 2015