find the general solution of yu(adsbygoogle = window.adsbygoogle || []).push({}); _{x}+xu_{y}=yu+xe^{x}( the solution is in the form of u(x,y)=ye^{x}+f(y^{2}-x^{2})e^{x})

if at first the value of u(x,y) on the upper half of hyperbola (that is y>=1) has been given as φ,show that if φ has not been given as a special form there is no solution.find that special form of φ and show there is infinite solution in this situation.

**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!

# Homework Help: The solution of the PDE

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