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i-love-pro
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b091bbacad
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| d9ac5bd150 |
@@ -74,12 +74,12 @@ t_n = t_0 + nh
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{{< /latex >}}
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{{< /latex >}}
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We can get the formula for \\(y_n\\) by looking at our aproximation steps above.
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We can get the formula for \\(y_n\\) by looking at our aproximation steps above.
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{{< latex >}}
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{{< latex >}}
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\begin{gather*}
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\begin{gather}
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y_1 = y_0 + hf(t_0,y_0) \\
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y_1 = y_0 + hf(t_0,y_0) \\
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y_2 = y_1 + hf(t_1,y_1) \\
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y_2 = y_1 + hf(t_1,y_1) \\
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... \\
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... \\
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y_{n+1} = y_n + hf(t_n,y_n)
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y_{n+1} = y_n + hf(t_n,y_n)
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\end{gather*}
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\end{gather}
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{{< /latex >}}
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{{< /latex >}}
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What we have arrived at is [Euler's method](https://mathworld.wolfram.com/EulerForwardMethod.html).
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What we have arrived at is [Euler's method](https://mathworld.wolfram.com/EulerForwardMethod.html).
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Submodule themes/vanilla updated: 869f9d12c8...67e2150f75
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