(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(a) Solve the equation [tex]yu_{x} + xu_{y}[/tex] = 0 with the condition u(0,y) = [tex]e^{-y^{2}}[/tex]. Okay. My tex has gone wrong. Those are supposed to be subscripts in the the equation. I'm not sure why they aren't.

(b) In which region of the xy plane is the solution uniquely determined.

2. Relevant equations

3. The attempt at a solution

I have solved part (a) e[tex]^{x^{2}-y^{2}}[/tex]. What I don't understand is the meaning of uniquely determined. I can't find it in my textbook or online. I'm really not interested in the solution, I only included the problem to give a background for what I was asking. So, if someone can explain to me what uniquely determined means, that would be brilliant. Cheers.

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# Uniquely Determined? - Partial Differential Equations

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