Slide: Ex.1: Airy-like function An exercise problem by Nobuki Takayama on Sep.16, 2009, during Kobe Grbner School. o Question: Let A(x) = 0   e  txt3  dt,  x > 0.  Derive a dierential equation satised by A(x). Answer: 2 1 = (27x3 x + 54x2 x + 6x + 1)A(x)  = 27x3 A (x) + 54x2 A (x) + (6x + 1)A(x). 3
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