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!

Derivative Problem

  1. Nov 1, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the constants A, B, and C such that the function [tex]y=Ax^{2}+Bx+C[/tex] satisfies the differential equation [tex]y^{''}+y^{'}-2y=x^{2}[/tex].



    3. The attempt at a solution
    I know that [tex]y^{''}+y^{'}-2Ax^{2}-2Bx-2C=x^{2}[/tex] and that [tex]y^{'}=2Ax+B[/tex] and [tex]y^{''}=2A[/tex], but I'm really stuck at this point. Any help would be appreciated.
     
  2. jcsd
  3. Nov 2, 2009 #2

    lanedance

    User Avatar
    Homework Helper

    almost there, substitute in for y & y'

    each power of x will give you an equation that must be solved for the solution to satisfy teh differential equation

    eg. the co-efficients of x^1 must add up to zero
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Derivative Problem
  1. Derivative Problem (Replies: 5)

  2. Derivative problem (Replies: 3)

  3. Derivative problem (Replies: 10)

Loading...