  We present a simple formula for finding bound state solution of any quantum
wave equation which can be simplified to the form of
$\Psi"(s)+\frac{(k_1-k_2s)}{s(1-k_3s)}\Psi'(s)+\frac{(As^2+Bs+C)}{s^2(1-k_3s)^2}\Psi(s)=0$.
The two cases where $k_3=0$ and $k_3\neq 0$ are studied. We derive an
expression for the energy spectrum and the wave function in terms of
generalized hypergeometric functions $_2F_1(\alpha, \beta; \gamma; k_3s)$. In
order to show the accuracy of this proposed formula, we resort to obtaining
bound state solutions for some existing eigenvalue problems in a rather more
simplified way. This method has been shown to be accurate, efficient, reliable
and very easy to use particularly when applied to vast number of quantum
potential models.
