pset_2b - ACM 95/100c Problem Set 2 8th April 2006 Due by...

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Unformatted text preview: ACM 95/100c Problem Set 2 8th April 2006 Due by 5:00PM on 4/14/2006 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 (Collaboration allowed) Consider the solution of the 1-D heat equation φ t = a 2 φ xx < x < l with boundary conditions φ (0 , t ) = φ ( l, t ) = 0 and initial conditions φ ( x, 0) = 1 Solve this problem using a series solution obtained from separation of variables....
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