Based on the definition of the BVP, the definition of the two-point boundary value problems is a differential equation \(\frac{d^{2}y}{dx^{2}}+p(x)\frac{dy}{dx}+q(x)y(x)=0\) subjected to the boundary conditions \(y(a)=x_{a},y(b)=x_{b}\) where \(a\neq b\).