The value of $\mathcal { L } \{ \operatorname { erfc } ( \sqrt { t } ) \}$ is
A) $( 1 + 1 / \sqrt { s + 1 } ) / s$
B) $( 1 + 1 / \sqrt { s - 1 } ) / s$
C) $( 1 - 1 / \sqrt { s + 1 } ) / s$
D) $( 1 - 1 / \sqrt { s - 1 } ) / s$
E) none of the above

Question

Quizplus · Accepted Answer

The Laplace transform of the complementary error function $\operatorname{erfc}(\sqrt{t})$ is $(1 - 1/\sqrt{s+1})/s$.

The Value Of L{erfc⁡(t)}\mathcal { L } \{ \operatorname { erfc } ( \sqrt { t } ) \}L{erfc(t​)}

The Value Of $\mathcal { L } \{ \operatorname { erfc } ( \sqrt { t } ) \}$