How can I make these blurry Shape?

I tried to create these shapes several times ago without success. I tried with illustrator and a blurry shape that I deform with "Envelope Distort" > "make with mesh" but the result isn't very convincing. I'd tried with photoshop but there isn't a tool like the one in illustrator…

Can you help me ?

1st image :

2nd image (bonus):

Bonus : can you help me too, to make the effect of the second image ?