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TylerH
#2
Feb23-12, 05:54 PM
P: 737
Quote Quote by Bipolarity View Post
Also, why are we allowed to integrate both sides of the equation with respect to different variables?
You're not really integrating the y side in terms of y, because y and dy are functions of x. You're using substitution. For example, if [tex]y=C e^{k x}[/tex], then [tex]\frac{dy}{y}=\frac{C k e^{k x} dx}{C e^{k x}}=k dx[/tex].

As for the rest. I'm as lost as you are. I had a thread on this a long time ago. I'm looking for it now.