The authors consider the quasidifferential expression \[ L_{mn}(y) = \sum^{n}_{i=0}\sum^{m}_{j=0} (a_{ij}y^{(n-i)})^{(m-j)}, \quad m,n>0, \] on a finite interval \([a,b]\), where \(a_{00}\) is constant, \(a_{10}, a_{01} \equiv 0\), \(a_{i0}, a_{0j} \in L^{2}[a,b]\) and \(a_{ij}\) are derivatives of right continuous functions of bounded variation for \(i,j\geq 1\). Using the quasiderivatives technique, they obtain the asymptotics of the eigenvalues and eigenfunctions of the operator induced by \(L_{mn}(y)\) and regular boundary conditions.