Difference between revisions of "Laplace Transform"

Revision as of 16:04, 20 September 2021

@@ Line 2: / Line 2: @@
 |+ Caption text
 |-
-! <math> f(t) </math> !! <math> F(s) = \mathcal{L}|f(t)| </math> !! Header text
+! <math> f(t) </math> !! <math> F(s) = \mathcal{L}|f(t)| </math>
 |-
-| Example || Example || Example
+| <math> 1 </math> || <math>  </math>
 |-
-| Example || Example || Example
+| <math> e^{at} </math> || <math>  </math>
 |-
-| Example || Example || Example
+| <math> t^{n} </math> || <math>  </math>
+|-
+| <math> \sin{at} </math> || <math>  </math>
+|-
+| <math> \cos{at} </math> || <math>  </math>
+|-
+| <math> \sinh{at} </math> || <math>  </math>
+|-
+| <math> \cosh{at} </math> || <math>  </math>
+|-
+| <math> e^{at}\sin{at} </math> || <math>  </math>
+|-
+| <math> e^{at}\cos{at} </math> || <math>  </math>
+|-
+| <math> e^{at}\sinh{at} </math> || <math>  </math>
+|-
+| <math> e^{at}\cosh{at} </math> || <math>  </math>
+|-
+| <math> t^{n}e^{at} </math> || <math>  </math>
 |}
 ==Resources==
 * [https://tutorial.math.lamar.edu/classes/de/LaplaceIntro.aspx Laplace Transforms], Paul's Online Notes