Solutions of the Problems & Riders Proposed in the Senate-House Examination for 1854

William Walton

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H2 100 SENATE-HOUSE PROBLEMS AND RIDERS. [Jan. 19, * 5P «W = A X«» * & (* + A )\ x and t^ being arbitrary functions of a?.
Then «*•«*. + ". ; Wi and therefore ^jVi 8 "^"*- ( 2 )* From (1) and (2) we get These formulae determine the arbitrary functions.
Let ««, = oa? + i, -^ = aV*. Then * r— 1 ' . i car m 2w„ = ax + o r • r , * r— 1 9-12.] PROBLEMS. 101 t A t A Hence 2e + ft + g^l^ {

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