Re: Help with a differential equation

A N Niel wrote: 
In article <kjSae.11446$V02.5881@xxxxxxxx>, Ron Sperber
<ronsperber@xxxxxxxxxxxxx> wrote:


I don't know about your textbook, but most of the introductory DE textbooks I've seen only deal with linear first order ODEs which this definitely is not.

However the following trick might be useful

Let u=(y/x). 


Look under "homogeneous" in your textbook, and you will find that trick.
But we don't call it a trick, we call it a method.

Ah, I think now I know the confusion I had. Sadly homogeneous in ODEs refers to both these types of equations and ODEs of the form F(x,y,y')=0. And while I've seen these in some books, its sometimes relegated to exercises and I don't always teach this "method".
And frankly your comment of "we call it a method" is just silly. Many 'methods' of solving ODEs ARE tricks. They're just tricks that work.
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