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!

Differentials Equation Help

  1. Oct 21, 2009 #1
    1. The problem statement, all variables and given/known data
    I have two problems from my differential equations assignment that I'm having difficulty with. I would appreciate some guidance!


    2. Relevant equations

    http://img10.imageshack.us/img10/3397/questionsk.th.jpg [Broken]

    3. The attempt at a solution
    for no.10 I used reduction of order with the assumption that one solution is y1=e^x
    I got y2=xe^x

    my question is for this question do I solve the unhomogenous equation by variation of parameters to solve for the particular solution And from there use it for the General Solution ? ( yg= yh+yp.

    For no.7
    I multiplied by x^p y^q and found the partial derivatives My and Nx.
    Inorder for it to be exact, I equated the partial derivatives and found my values for p and q. They came out to being fractions and my final solution is extremly messy with fractions. Is this is correct approach?

    Thanks.
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Oct 22, 2009 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Yes.

    Did you get 3q= 2(p+1) and 20(q-1)= 12(p+ 3)? That's what I got. Yes, those give "messy" fractions.

    Thanks.[/QUOTE]
     
    Last edited by a moderator: May 4, 2017
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Differentials Equation Help
  1. Differentiation help (Replies: 7)

  2. Differentiation help , (Replies: 10)

Loading...