daviddoji/CalculusWithJuliaNotes.jl
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jverzani
2024-05-22 07:55:20 -04:00
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quarto/ODEs/euler.qmd
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@@ -133,7 +133,7 @@ $$
\langle x_0, y_0 \rangle + h \cdot \langle 1, F(y_0, x_0) \rangle.
$$
The above uses vector notation to add the piece scaled by $h$ to the starting point. Rather than continue with that notation, we will use subscripts. Let $x_1$, $y_1$ be the postion of the tip of the vector. Then we have:
The above uses vector notation to add the piece scaled by $h$ to the starting point. Rather than continue with that notation, we will use subscripts. Let $x_1$, $y_1$ be the position of the tip of the vector. Then we have:
$$