4.5 Determine a, B. y and 8 such that the relation (a+b) |=ay(a) + By(b) + yy'(a) + 8y"(b) is exact for polynomials of a
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4.5 Determine a, B. y and 8 such that the relation (a+b) |=ay(a) + By(b) + yy'(a) + 8y"(b) is exact for polynomials of as high degree as possible. Give an asymptotically valid ex- pression for the truncation error as | b-a |→0.
4.5 Determine a, B. y and 8 such that the relation (a+b) |=ay(a) + By(b) + yy'(a) + 8y"(b) is exact for polynomials of as high degree as possible. Give an asymptotically valid ex- pression for the truncation error as | b-a |→0.