Taylor expansion behind Euler's method with second-order remainder (Q1675)

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Taylor expansion behind Euler's method with second-order remainder
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    y(x_{n}+h)=y(x_{n})+h\\,f\\bigl(x_{n},y(x_{n})\\bigr)+\\frac{h^{2}}{2}\\,y''(\\xi_{n}),\\qquad \\xi_{n}\\in(x_{n},x_{n}+h)
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