  This article contains the theorems which shows that when
$A(z)=h_1(z)e^{P_1(z)}$ and $B(z)=h_0(z)e^{P_0(z)}$ are of same order,then all
the non-trivial solutions of equation $f"+A(z)f'+B(z)f=0$ are of infinite
order. Moreover we extend these results to higher order differential equations.
