There is investigated the weighted boundary value problem for the ordinary linear of the second order differential unhomogeneous equation with the strong singular coefficients at a separate point in this work and the singularity of the coefficients are of the degree type. The mentioned above boundary value problem are researched in interval which beginning coincides with the singular point of equation. Weighted condition is formed at singular point for the solution, the value of the solution is indicated in the another point. There are proved general characteristics of the homogeneous equation, also the existence and uniqueness of the solution of the analysed problem.