Finala - CHEE 3334 Fall'97 FINAL EXAM Michael Nikolaou...

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CHEE 3334 Fall ’97 Michael Nikolaou FINAL EXAM Open-book, open-notes. Total points 100. Please, budget your time ! Do NOT try to read the book during the exam! Write neatly! Do NOT use your programmable calculator to find results you are asked to compute in a certain way--after all, the calculator may find the wrong answer or not all answers! Show all work. Return this sheet with your exam . GOOD LUCK and HAPPY HOLIDAYS! The concentration u ( x , t ) of a species diffused through a membrane is described by the partial differential equation (PDE) 2 2 2 + = x u x u t u 0 , 1 0 < < t x (1) with initial condition ) 1 ( ) 0 , ( x x x u - = , for all x in the interval (0,1) (2) and boundary conditions 0 ) , 0 ( = t u , for all 0 t (3) t e t u - - = 1 ) , 1 ( , for all 0 t (4) (10 pts.) 1. Is the above PDE (equation (1)) linear or nonlinear? Justify your answer. (10 pts.)
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Finala - CHEE 3334 Fall'97 FINAL EXAM Michael Nikolaou...

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