Hi guys, this is my first post but have read the forums for a long time - a quick search didnt bring up anything that could help me. So i was wondering if someone could please explain something to me.(adsbygoogle = window.adsbygoogle || []).push({});

I have a differential equation

(excuse the pictures, I dont know how to use the equation writer in this?)

and basically I have to get it into a seperable form and simplify like I have done in the picture.

In the picture I explain what I want to know, basically

how come the dy/dx e^(8x) + 8ye^(8x) can be written as d[e^(8x)]/dx ... where do the other terms go? I have been doing a few of these problems by following examples, and its not explained and I have been taking it for granted that this happens ... but I want to know why?

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# 1st order linear differential equations - integrating factors

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