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October 25th, 2011, 09:00 PM   #1
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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??
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October 25th, 2011, 11:27 PM   #2
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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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