Find the $L^{-1} (\frac{1}{s(s+4)^\frac{1}{2}})$, give the answer in terms of error function.

Question

TuteeHUB · Accepted Answer

$\frac{1}{2} erf⁡(4\sqrt{t})$

TuteeHUB · Answer

$\frac{1}{2} erf⁡(2t)$

TuteeHUB · Answer

$\frac{1}{2} erf⁡(\sqrt{t})$

TuteeHUB · Answer

$\frac{1}{2} erf⁡(2\sqrt{t})$

TuteeHUB · Answer

$\frac{1}{2} erf⁡(4\sqrt{t})$

1.	Find the \(L^{-1} (\frac{1}{s(s+4)^\frac{1}{2}})\), give the answer in terms of error function.
A.	\(\frac{1}{2} erf⁡(2t)\)
B.	\(\frac{1}{2} erf⁡(\sqrt{t})\)
C.	\(\frac{1}{2} erf⁡(2\sqrt{t})\)
D.	\(\frac{1}{2} erf⁡(4\sqrt{t})\)
Answer» D. \(\frac{1}{2} erf⁡(4\sqrt{t})\)

Find the \(L^{-1} (\frac{1}{s(s+4)^\frac{1}{2}})\), give the answer in terms of error function.