puzzle 2 is called "the art of stalemate".
all puzzles!

Astonishing, but these are all wrong.
The 2nd and the 4th are simply bad, the other 3 have several side solutions.
In the first puzzle, white is up a queen. Almost all legal moves win.
In the second puzzle black is losing. After 1. - Rxd7+ white should play 2. Kc8 Rd8+ 3. Kb7 Rd7+ 4. Kc6.
In the third puzzle white can play Qc6+ and then Qxa6, winning a piece.
In the fourth puzzle black wins instead of losing. 1. e4 f6!
In the fifth puzzle the simple 3. Rxg7+ also wins.
puzzle 1 called "closed battery".