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Unformatted text preview: x = 0 = u ( π , t ) IC : u ( x, 0) = 3 cos( 5 2 x ) [40 marks] 3. Consider the second order di f erential equation: Ly = 4 x 2 y 00 − ( x 2 + x ) y + y = 0 (1) (a) Classify the points x ≥ (do not include the point at in f nity) as ordinary points, regular singular points, or irregular singular points. [5 marks] (b) Use the appropriate series expansion about the point x = 0 to determine two independent solutions to (1). You only need to determine the f rst three non-zero terms in each case. [35 marks] 1...
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This note was uploaded on 04/06/2012 for the course MATH 257 taught by Professor Peirce during the Fall '08 term at The University of British Columbia.
- Fall '08