The chemicals in most dish soaps are very hard on the animals skin, and some may be toxic. I wouldn't trust anything with a lemon/citrus scent. The best thing is to break down and buy olain blue dawn if it is a puppy. If it is old enough for flea treatment then spend the $ on a good one.
Do not use the Hartz brand! Frontline and Advantage are pricey but they work. Also check the local pet supply shops, Petco used to sell an all natural powder that made the dog a little sticky but work really well. It was in a pink container and had peppermint oil and I think cedar oil as the ingredients.
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