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. 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?