Question

Can someone explain how this is possible? :P

Answer 1

The differentiation of xy = xy' + y, when differentiated according to the product rule... But beyond this, I'm not sure.

Answer 2

Hm, ok. I guess I have more reading to do :P

Answer 3

xD Sorry I can't help more...

Answer 4

Annoying when you feel like you HAVE to understand it :P

Answer 5

this is a differential equation and as incognito says it is using the product rule in reverse
the next step to solve the equation would be to integrate both sides

Answer 6

this will give you the general solution which is an equation relating y and x and including the constant of integration

Answer 7

does this help?

Answer 8

Yup!^^ Thanks!

Answer 9

\[\frac{d}{dx}(yx)=\frac{dy}{dx}x+y\frac{dx}{dx}\\\qquad\qquad=y'x+y\]