An analytical solution with high accuracy which holds for any values of eps
ilon for fluid-dynamics model equation in a single semicircular canal prese
nted by Buskirk and his co-workers has been obtained. It not only includes
all of the results of Buskirk et al. but also covers three possible kinds o
f dynamical response modes in practice. The theoretical results are in bett
er agreement with those of experimental observations. This investigation ha
s laid a reliable theoretical foundation for quantitatively understanding f
luid-dynamics in semicircular canal, especially fluid dynamical response. T
he distribution of the velocity of the endolymph in semicircular canal is g
iven. A nonstandard method of the inverse Laplace transform is presented.