ladeshak8429 ladeshak8429
  • 22-06-2019
  • Mathematics
contestada

Use the definition of the Laplace transform to find L(f(t) if f(t)=t^5

Respuesta :

freckledspots freckledspots
  • 22-06-2019

Answer:

120/s^6

Step-by-step explanation:

There is an easy formula for this...

L(t^n)=n!/(s^(n+1))

Your n=5 here

L(t^5)=5!/(s^6)

L(t^5)=120/s^6

Answer Link
konrad509
konrad509 konrad509
  • 22-06-2019

[tex]\mathcal{L}\{t^n\}=\dfrac{n!}{s^{n+1}}[/tex]

So

[tex]\mathcal{L}\{f(t)\}=\dfrac{5!}{s^{5+1}}=\dfrac{120}{s^6}[/tex]

Answer Link

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