Mate in 5 Exercise 58

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

1. Qf4+ Kd3 2. Qxd5+ Kc3 3. Qfd2#

The analysis board does checkmate in 5 moves

1. Qb4+ Qc4 2. Qxc4+ Kf5 3. Qcxd5+ Kg6 4. Qag8+ Kf6 5. Qdg5#

Source:

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