I am studying ode now, and my text has that(adsbygoogle = window.adsbygoogle || []).push({});

If y'=f(y/x)

Then, setting y/x=u ; y=ux is a way to solve it.

I understand the idea, turn orignal form to separable form.

But I can't get the differentiation, Book says

y'=u'x+u by product rule which I already know.

Here my question is why u=y/x that obviously has two variables x & y, u(x,y) should be differentiated respect to x like it only has one variable x ( like u(x) )

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# I Set y/x as y=ux to solve ode

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