SOLUTION —
$\left[ LT ^{-1}\right]\left[ LT ^{-2}\right],\left[ LT ^{-3}\right]$.
L. H. S.; $y=[ L ]$, and
R. H. S.;
$A t =[ L ] ; \therefore A = L / T =\left[ LT ^{-1}\right]$
$B t^{2} =[ L ] ; \therefore B = L / T ^{2}=\left[ LT ^{-2}\right]$
$\text { and } C t^{3} =[ L ] ; \therefore C = L / T ^{3}=\left[ LT ^{-3}\right]$