Catchup 5

This commit is contained in:
Nathan Nguyen
2024-10-03 08:50:05 -05:00
parent f80bc1f41c
commit b1d63ed4fe

View File

@@ -62,7 +62,7 @@ This section is from [Paul's Online Math Notes](https://tutorial.math.lamar.edu/
**Theorum**. Given a function $f(t)$ with $C^n$ continuity, then **Theorum**. Given a function $f(t)$ with $C^n$ continuity, then
$$ $$
\mathcal{L} \{ f^{(n)} (t) \} = s^n F(s) - s^{n-1} f(0) - s^{n-2} f'(0) - ... - s f^{(n-2)} (0) - f^{(n-1)} (0) \mathcal{L} \{ f^{(n)} (t) \} = s^n F(s) - s^{n-1} f(0) - s^{n-2} f'(0) - \ldots - s f^{(n-2)} (0) - f^{(n-1)} (0)
$$ $$
For $n=1, 2$ we see that For $n=1, 2$ we see that