Topic: Electronics Engineering
Laplace transform of $e^{at}t^{n}$ is
- A. $n/(s-a)^{n+1}$
- B. $n!/(s+a)^{n+1}$
- C. $n!/(s-a)^{n+1}$
- D. $1/(s-a)^{n+1}$
Answer: C. $n!/(s-a)^{n+1}$
Explanation: By definition, the Laplace transform of $t^n$ is $n!/s^{n+1}$. Using the frequency shifting property, the Laplace transform of $e^{at}t^n$ is $n!/(s-a)^{n+1}$.