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Unformatted text preview: λ =0,1,2,3,4 with Mathematica. Which functions are odd and even? How are the two kinds different? Does anything “special” happen at x=0 in some cases? (7) What is the general solution to the following ODE (solve it by hand using the results from our in class derivations, i.e., don’t do through the derivation again)? ( 29 9 2 2 =-+ ′ + ′ ′ R r R r R r Plot the two linearly independent solutions with Mathematica. Apply the following boundary conditions and determine the final solution ) ( r R by hand: ) ( = R and 1 ) 1 ( ' = R Hint : use Mathematica to help you differentiate the general solution to learn something interesting about the general solutions of the above ODE…then plug in the 1 ) 1 ( ' = R condition....
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This note was uploaded on 12/29/2011 for the course CHE 132a taught by Professor Gordon,m during the Fall '08 term at UCSB.
- Fall '08
- Chemical Engineering