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Unformatted text preview: z n of the transcendental equation sin 2 z = z 2 that are valid for large | z | . Plot them along with the numerically-obtained solutions. (These values are related to the PapkovichFadle eigenfunctions of the biharmonic operator.) 4 Find leading-order uniform asymptotic approximations to ( a ) y 00 + y +( tanh x ) y = , y ( ) = y ( 1 ) = 1 , ( x 1 ) , < 1 , ( b ) y 00-1 1 + x 2 y + y = , y ( ) = y ( 1 ) = 1 , ( x 1 ) , < 1 . 1...
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This note was uploaded on 03/16/2010 for the course MAE 294b taught by Professor Young,w during the Winter '08 term at UCSD.
- Winter '08