Can someone explain how this is possible? :P

Question

gschibby · Answer

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lncognlto · Answer

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

gschibby · Answer

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

lncognlto · Answer

xD Sorry I can't help more...

gschibby · Answer

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

cwrw238 · Answer

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

cwrw238 · Answer

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

cwrw238 · Answer

does this help?

gschibby · Answer

Yup!^^ Thanks!

unklerhaukus · Answer

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