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!

PDE separation of variable problem

  1. Oct 25, 2011 #1
    1. The problem statement, all variables and given/known data

    Using the method of separation of variables, obtain a solution of the following PDE subject to
    the given conditions

    [itex]\frac{du}{dx}+y\frac{du}{dy}=(2x+y)u[/itex]

    [itex]u(x,1)=5e^{x^{2}-x}[/itex]


    2. Relevant equations



    3. The attempt at a solution

    See my attached working

    the answer is [itex]u(x,y)=5ye^{y-1+x^{2}-x}[/itex]

    Im not sure if Im getting anywhere near close in my working out. Have double checked the arithemetic and everything seems fine so far
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Oct 25, 2011 #2
    hi guys

    an update on the problem. I managed to solve it.

    The issue was that I didn't consider the arbirtrary integration constant, C, when doing the integral of the Y term.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: PDE separation of variable problem
Loading...