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On the approximate values of an implicitly given function. (English) Zbl 0776.34006

Summary: We are concerned with the problem of determination of approximate values of a function given implicitly by \(F(x,y)=0\); it is reduced to the problem of determination of approximate values of the solution of an associated differential equation.

MSC:

34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
34A45 Theoretical approximation of solutions to ordinary differential equations
26B99 Functions of several variables
41A30 Approximation by other special function classes
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