October 25th, 2011, 09:00 PM  #1 
Senior Member Joined: Sep 2011 Posts: 140 Thanks: 0  fundamental question
I noticed when I was solving differential equations, the constant value seems to confuse me a little. For example: if we integrate both sides, it will give , however I am confused to whether put or can anyone explain where to put the constant?? 
October 25th, 2011, 11:27 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,755 Thanks: 2137 
Let's assume that y > 0, so that you know y is not zero when you divide by it. When you integrate, you could give but that is equivalent to It therefore suffices to provide a constant on only one side of the equation. From the above, 

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