Difference between revisions of "Laplace Transform"

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| <math> \cosh{at} </math> || <math> \frac{s}{s^2-a^2} </math>
 
| <math> \cosh{at} </math> || <math> \frac{s}{s^2-a^2} </math>
 
|-
 
|-
| <math> e^{at}\sin{bt} </math> || <math> </math>
+
| <math> e^{at}\sin{bt} </math> || <math> \frac{b}{(s-a)^2+b^2} </math>
 
|-
 
|-
| <math> e^{at}\cos{bt} </math> || <math> </math>
+
| <math> e^{at}\cos{bt} </math> || <math> \frac{s-a}{(s-a)^2+b^2} </math>
 
|-
 
|-
| <math> e^{at}\sinh{bt} </math> || <math> </math>
+
| <math> e^{at}\sinh{bt} </math> || <math> \frac{b}{(s-a)^2-b^2} </math>
 
|-
 
|-
| <math> e^{at}\cosh{bt} </math> || <math> </math>
+
| <math> e^{at}\cosh{bt} </math> || <math> \frac{s-a}{(s-a)^2-b^2} </math>
 
|}
 
|}
  
 
==Resources==
 
==Resources==
 
* [https://tutorial.math.lamar.edu/classes/de/LaplaceIntro.aspx Laplace Transforms], Paul's Online Notes
 
* [https://tutorial.math.lamar.edu/classes/de/LaplaceIntro.aspx Laplace Transforms], Paul's Online Notes

Revision as of 16:15, 20 September 2021

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Resources