In an inductor, back emf is induced as there comes flux change. It is said that back emf decreases as time passes (when inductor is just connected to DC source).
When back emf decreases current increases in inductor. Current increases flux associated with inductor.
Back emf comes obeying Lenzs law. (Back emf is to fight flux change but why it is supporting flux change by decreasing...) Decreasing back emf is again increasing flux change. Then why and how back emf reduces?