Differential invariants and equivalence of ODEs $y^{\mathrm{\prime }\mathrm{\prime }}=a^3(x,y)y^{\mathrm{\prime }3}+a^2(x,y)y^{\mathrm{\prime }2}+a^1(x,y)y^{\mathrm{\prime }}+a^0(x,y)$

This paper is devoted to ordinary differential equations of the form $$y^{\mathrm{\prime }\mathrm{\prime }}=a^3(x,y)y^{\mathrm{\prime }3}+a^2(x,y)y^{\mathrm{\prime }2}+a^1(x,y)y^{\mathrm{\prime }}+a^0(x,y)$$ The algebra of all differential invariants of point transformations is constructed for these equations in general position and the equivalence problem is solved for them.