# Ordinary Differential Equations.

@article{Parke1958OrdinaryDE, title={Ordinary Differential Equations.}, author={Nathan Grier Parke and Wilfred Kaplan}, journal={American Mathematical Monthly}, year={1958}, volume={67}, pages={96} }

together with the initial condition y(t0) = y0 A numerical solution to this problem generates a sequence of values for the independent variable, t0, t1, . . . , and a corresponding sequence of values for the dependent variable, y0, y1, . . . , so that each yn approximates the solution at tn yn ≈ y(tn), n = 0, 1, . . . Modern numerical methods automatically determine the step sizes hn = tn+1 − tn so that the estimated error in the numerical solution is controlled by a specified tolerance. The…

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## References

9660e-11 2

- 9660e-11 2