Difference between revisions of "Laplace Transform"
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| <math> 1 </math> || <math> \frac{1}{s} </math> <math> s > 0 </math> | | <math> 1 </math> || <math> \frac{1}{s} </math> <math> s > 0 </math> | ||
− | |||
− | |||
|- | |- | ||
| <math> t </math> || <math> \frac{1}{s^2} </math> <math> s > 0 </math> | | <math> t </math> || <math> \frac{1}{s^2} </math> <math> s > 0 </math> | ||
Line 13: | Line 11: | ||
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| <math> t^{n}e^{at} </math> || <math> \frac{n!}{s^{n+1}} </math> <math> s > a </math> | | <math> t^{n}e^{at} </math> || <math> \frac{n!}{s^{n+1}} </math> <math> s > a </math> | ||
+ | |- | ||
+ | | <math> e^{at} </math> || <math> \frac{1}{s-a} </math> <math> s > a </math> | ||
|- | |- | ||
| <math> \sin{at} </math> || <math> \frac{a}{s^2+a^2} </math> <math> s > 0 </math> | | <math> \sin{at} </math> || <math> \frac{a}{s^2+a^2} </math> <math> s > 0 </math> |