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: Trouble with particular solution of differential equation - rewrite my answer?

  1. Aug 27, 2012 #1
    Trouble with particular solution of differential equation - [SOLVED]

    1. The problem statement, all variables and given/known data
    Find the particular solution of the differential equation
    satisfying the initial condition 907c69d9098d2e376491d1dfd7f0771.png

    3. The attempt at a solution
    [STRIKE]I end up with (1/2)ln(-x^2+10x) which does satisfy the initial conditions, yet it's coming back as incorrect. Is there another way I can write the formula?[/STRIKE]

    I figured it out, check post #3
    Last edited: Aug 27, 2012
  2. jcsd
  3. Aug 27, 2012 #2


    Staff: Mentor

    Show how you got the result you show. I assume you mean y = (1/2)ln(-x2 + 10x).

    Satisfying the initial conditions is not enough: the solution has to satisfy the differential equation, too.
  4. Aug 27, 2012 #3
    Scratch that above, I had a negative out of place. See below. I corrected it and it's coming back as correct.


    [itex]\int[/itex] (e2y)dy = [itex]\int (x-5)dx[/itex]

    e2y = x2 - 10x + C

    2y = ln(x2 - 10x + C)

    C = 50
    Last edited: Aug 27, 2012
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook