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The Quarterly Journal of Mechanics and Applied Mathematics 1948 1(1):433-441; doi:10.1093/qjmam/1.1.433
© 1948 by Oxford University Press
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THE APPLICATION OF THE NATIONAL ACCOUNTING MACHINE TO THE SOLUTION OF FIRST-ORDER DIFFERENTIAL EQUATIONS

A. E. CARTER and D. H. SADLER

( H.M. Nautical Almanac Office Office, c/o Royal Observatory, Greenwich, S.E. 10 )

Milne's formula for approximate quadrature is used as the basis of a method for the solution of first-order differential equations on the National machine. The method, which is illustrated by a numerical example, enables the machine to form the required dependent variable without the necessity for conversion from a sum to an integral.


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