Check that both sides agree:
L H S = 10 ( 0 ) = 0 R H S = e 2 ( 0 ) − e − 2 ( 0 ) = 1 − 1 = 0 {\displaystyle {\begin{aligned}{\rm {LHS}}&=10(0)=0\\{\rm {RHS}}&=e^{2(0)}-e^{-2(0)}=1-1=0\end{aligned}}}
So both sides agree and the point ( 0 , 0 ) {\displaystyle (0,0)} is on the curve.
