{"type":"rich","version":"1.0","title":"Taylor expansion behind Euler's method with second-order remainder","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"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)\">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)</span>","width":640,"height":320}