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!

Homework Help: Second order non homogeneous ODE, IVP

  1. Dec 8, 2016 #1
    1. The problem statement, all variables and given/known data
    I need to solve:
    x^2y''-4xy'+6y=x^3, x>0, y(1)=3, y'(1)=9

    2. Relevant equations

    3. The attempt at a solution

    I know that the answer is: y=x^2+2x^3+x^3lnx
    Where did I go wrong. I was wondering if it's even logical to solve it as an Euler Cauchy and then use variation of parameters...
  2. jcsd
  3. Dec 8, 2016 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Last edited: Dec 8, 2016
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted