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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
    c995a54ca48d21f6dc81446bdd54881.png
    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

    Mark44

    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]\frac{dy}{dx}[/itex]=e-2x(x-5)

    [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
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