Is it okay to put soapy water on non-edible plant? How about edible plants?

It depends on the soap. Some soaps have chemicals in them that can damage plants. But true soap and simple detergents have been used to control insects on plants for a couple of centuries!

I used to use a soap solution on my antique roses to keep the aphids down (and I use the rosebuds for tea sometimes). The usual dilution is about 2-3%, so if your dishwater is already close to that for washing dishes and then you cut it further with the rinse water, you'll be well within that range. Again, depending on your soap, it probably won't harm either edible or inedible plants at this dilution.

Organic/natural soaps should be fine from a standpoint of edibility. Since a soap is technically the alkali salt of a fatty acid, its components are typically a fat or oil, and lye (sodium hydroxide) or potash (potassium hydroxide). Detergents are chemically different because they contain surfactants and can contain enzymes and other chemicals.

Most high-bubbling dish soaps contain higher levels of surfactants. I'm including a link to the Colorado State Extension Service, which has a lot of information on this topic.

Soapy water is fine for edible plants as well as non edible as long as the soap isn't toxic. Soapy water actually helps keep bugs off plants if I remember correctly.

Actually, soapy water on plants is no problem. It does extend our limited resources and it also helps to keep bugs away. I use "grey water" from my washer on my hedge and Dishwashers|dishwater on my edible plants.No problems.

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