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: PDE U_x+U_y=1

  1. Feb 8, 2014 #1
    1. The problem statement, all variables and given/known data

    U_x+U_y=1 with boundary condition U(y,y/2)=y



    2. Relevant equations


    3. The attempt at a solution

    Well first I solved the homogeneous solution and got ax-ay where a is just a constant. Then for the non homogeneous solution I got ax+(1-a)y. After adding them both together and pluggin in the boundary condition I got U=x+(0)y? Is that right?
     
  2. jcsd
  3. Feb 8, 2014 #2

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    It's easy enough to check it yourself. Does your solution ##U(x,y)=x## satisfy ##U_x+U_y = 1## and ##U(y,\frac y 2) = y##?
     
  4. Feb 8, 2014 #3
    It does. But I'm suspicious whenever a solution to a PDE comes out that nice.
     
  5. Feb 8, 2014 #4

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Hey, if you have the solution you have the solution. There's nothing left worry about. Good going.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Loading...