It　is　well　known　that　confinings　and　asymptotic　freedom　are　properties　of　quantum　chromo-dynamics　(QCD).　But　hints　of　these　features　can　also　be　observed　at　purely　classic　levels.　For　this　purpose　we　need　to　find　solutions　to　the　colorly-sourceful　Yang　Mills　equations　with　both　confining　and　asymptotic　freedom　features.　We　provide　such　a　solution　in　this　paper　which　at　the　near-source　region　is　of　serial　form,　while　at　the　far-away　region　is　approximately　expressed　through　simple　elementary　functions.　From　the　solution,　we　derive　out　a　classically　non-perturbative　beta　function　describing　the　running　of　effective　coupling　constant,　which　is　linear　in　the　couplings　both　in　the　infrared　and　ultraviolet　region.