Solvetheequationuxy+u =0inthequarterplane Q ={ x > 0, y >
Chapter 13, Problem 10(choose chapter or problem)
Solvetheequationuxy+u =0inthequarterplane Q ={ x > 0, y > 0}withtheboundaryconditions u(x,0)=u(0, y)=1.(Method1:Reduceit to the Klein-Gordon equation by a rotation of /4. Method 2: Look for a solution of the form u(x, y)= f(xy) and show that f satises an ODE that is almost Bessels equation.)
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