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: Integral of exponential over polynomial

  1. Jan 5, 2016 #1


    User Avatar

    1. The problem statement, all variables and given/known data
    Solve the ODE: y''+x*y'-y=0

    2. Relevant equations

    3. The attempt at a solution
    Since this is a variable coefficient ODE, I have used the method of reduction of order, and assumed the solution in the form: y=c1*y1+c2*y2

    In this case: y1=x, and I have the reached the integral below for the second solution (y2), Can any one tell me how to approach this integral:

    v=integral[ (x^-2) * exp (-0.5*x^2) dx]
    Last edited by a moderator: Jan 5, 2016
  2. jcsd
  3. Jan 5, 2016 #2


    User Avatar
    Science Advisor
    Homework Helper

    Integration by parts leaves you with an integral that is (up to some constants) the error function.
    Last edited by a moderator: Jan 5, 2016
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted