1. Not finding help here? Sign up for a free 30min 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!

Finding if a solution exists

  1. May 24, 2004 #1
    hi
    this is my first attempt at using the latex commands ..
    consider this Cauchy Problem:
    [tex]
    u_x\exp y +u_y\exp(x)=1
    [/tex]
    [tex]
    u(t,tk^2)=k\exp(-t)
    [/tex]
    where k is a constant.
    forgive me i have given up using latex as i am too slow, it would take me a week to type it up at this rate. anyway
    i am trying to find the values of k where
    a) this problem has a unique solution
    b) no solutions

    for part a) i know that it all boils down to showing where the vector (1,k^2) is never parallel to ( exp(t*k^2), exp(t) )
    i eventually get to:
    t cant be equal to 2ln(k)/(1-k^2), however the question asks for values of k and i havent done that. but i dont know any way to find explicit values of k

    for part b) i just said t=2ln(k)/(1-k^2)

    is it reasonable to give the answer in the form i have? i'm not sure
    hope you can help

    thanks,
    vladimir
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted



Similar Discussions: Finding if a solution exists
Loading...