The inverse Laplace transform of $F ( s ) = 4 / s ^ { 3 }$ is
A) $t ^ { 3 } / 4$
B) $t ^ { 2 } / 4$
C) $t ^ { 2 } / 2$
D) $2 t ^ { 2 }$
E) $3 t ^ { 3 } / 2$

Name: The inverse Laplace transform of $F ( s ) = 4 / s ^ { 3 }$ is A) $t ^ { 3 } / 4$ B) $t ^ { 2 } / 4$ C) $t ^ { 2 } / 2$ D) $2 t ^ { 2 }$ E) $3 t ^ { 3 } / 2$
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Question

Quizplus · Accepted Answer

The inverse Laplace transform of $4/s^3$ is $2t^2$, as the Laplace transform of $t^n$ is $n!/s^{n+1}$. Here, $n=2$, so the inverse is $2t^2$.

The Inverse Laplace Transform Of F(s)=4/s3F ( s ) = 4 / s ^ { 3 }F(s)=4/s3

The Inverse Laplace Transform Of $F ( s ) = 4 / s ^ { 3 }$