(a) Ifu(x, y)=
Chapter 7, Problem 7(choose chapter or problem)
(a) Ifu(x, y)= f(x/y)isaharmonicfunction,solvetheODEsatised by f. (b) Show that u/r 0, where r =x2+y2 as usual. (c) Supposethatv(x,y)isanyfunctionin{y > 0}suchthatv/r 0. Show that v(x, y) is a function of the quotient x/y. (d) Find the boundary values limy0 u(x, y)=h(x). (e) Show that your answer to parts (c) and (d) agrees with the general formula from Exercise 6.
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