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Unformatted text preview: ACM 95/100c Problem Set 6 13th May 2006 Due by 5:00PM on 5/22/2006 Please deposit all problem sets in the slot in 303 Firestone Please remember to include your section number and section instructor Each problem is worth 10 points - each part of a multi-part problem is weighted equally Some of the solutions to some of the problems may be available from old solution sets. Your educational experience will be enhanced if you don't succumb to the temptation to use them but in general you can consult any written source out there for the non collaboration problems and you can collaborate freely on those problems marked collaboration allowed . Problem 1 (No collaboration) Solve 2 u x 2 + 2 u y 2 = 0 for &lt; x &lt; L, y &gt; subject to the following boundary conditions. If there is a solvability condition, state it and explain it physically. (a) u x (0 , y ) = g 1 ( y ) , u x ( L, y ) = g 2 ( y ) , u ( x, 0) = f ( x ) (b) u x (0 , y ) = 0 , u x ( L, y ) = 0 , u y...
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- Spring '09
- u2, Boundary value problem, Sturm–Liouville theory, Green's function