Mate in 5 Exercise 78

White plays and wins in 3 moves https://lichess.org/VzPku2zA

1. Qd2+ Kh4 2. Qdf4+ Kh5 3. Qh8#

The analysis board does checkmate in 5 moves

1. Qd2+ Kg4 2. Qdf4+ Kh3 3. Q8h6+ Kg2 4. Qhg5+ Kh3 5. Qg3#

Source:

This publication is in my collection "500 chess puzzles. Mate in 5. Advanced & Expert Level."