Written in a more simpler form...
Here is an example of simply dividing the two parts and using antidifferentiation.
Don't forget to add the "c" for the unknown constant in antidifferentiation, here is a video to help you brush up on antidifferentiating.
This leads into another section of the chapter where we seperate differential equations. Similar to the implicit differentiation concept!
It is interesting to see all the skills and knowledge used in these sections from all the way back to those algebra skills with natural logs and "e".
Exponential Growth and Decay, a miserable story problem type of memorizing different equations and formulas... E is for enemy. But this section in chapter six is quite fun!
Here are some notes explaining how to react to the equation that includes the growth constant or the decay constant.