I noticed that there is a link for this page, even with a brief summary, on the Equation-solving front page, but the link is dead. There are a couple of pages related to solving DEs already on the uncategorized list, and I would guess that this number will likely grow, since this is a big topic!
I could make the DE front page and start to collect these, but it might be better if someone who knows more about the subject does this.