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Unformatted text preview: y = ( x ) c 1 J ( ( x ) ) + c 2 Y ( ( x ) ) You will need to nd the correct value for and the correct functions ( x ) and ( x ). (Hint: Note that y and y in (1) represent derivatives of y with respect to x . Let y = u x and z = 1 2 x 2 and use the Chain Rule to convert to an equation using derivatives of u with respect to z . Here J and Y are Bessel functions of the rst and second kind, respectively.) 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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