So I have some problems and I tried to resolve them, I also have the results so I can check them but I'm curious if I made them good.
P1: (H*δ)'=?, where H is the heavisede distrobution and δ is diracs distributin. So I tried liek this : <(H*δ)',φ>=-<H*δ,φ'>=-<δ,<H,φ'>>, <H,φ'>=∫φ'dx=φ =>...