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 DE, reduction of order method?

  1. Oct 5, 2011 #1
    1. The problem statement, all variables and given/known data

    find general solution of x2y''-xy'-3y=0

    2. Relevant equations

    two solutions are given, y1=1/x and y2=x3

    3. The attempt at a solution

    i think this is a reduction of order question? the only theory i can find in my text for second order DE relates to constant coefficients, and obvioulsy these ones arent. anyone have some method for reduction of order? or am i going about this the wrong way?

  2. jcsd
  3. Oct 5, 2011 #2
    hold up.... by superposition of homogeneous equations...

    with y1 and y2 solutions, then a general solution would just be y=c1(1/x)+c2(x^3) ??

    but that seems too easy...
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook