(adsbygoogle = window.adsbygoogle || []).push({}); 1. Use the method of characteristics to solve: xu_{x}+yu_{y}=1

2. given condition of u(x,y)=1 when x^{2}+y^{2}=1

3. I know I need to transpose into the s-t domain. Using: du/ds=u_{x}dx/ds+u_{y}dy/ds=au_{x}+bu_{y}

so a=x & b=y...

please help

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Help with Method of Characteristics - PDE's

**Physics Forums | Science Articles, Homework Help, Discussion**