Unformatted text preview: 4 x 41 4 ² y = 0 (1) into a Bessel equation of order ν , so that you can write the general solution in the form y = c 1 J ν ( . . . ) + c 2 J − ν ( . . . ) You will need to ±nd the correct value for ν and the correct expression in x to replace the three dots . (Hint: Note that y and y 00 in (1) represent derivatives with respect to x . Let z = x 2 and use the Chain Rule to convert to an equation using derivatives with respect to z . ) 1...
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This note was uploaded on 01/06/2012 for the course MATH 4038 taught by Professor Staff during the Summer '08 term at LSU.
 Summer '08
 Staff
 Approximation

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