Separable differential equation, factor by grouping

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Separable differential equation, factor by grouping,

This problem is from Single Variable Calculus, by James Stewart,

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Комментарии
Автор

I'm curious regarding the constants. When you had c1, it could indeed be any constant number. When you transitioned to c2, c2 being e^c1 actually could only be positive. Isn't that something that needs to be noted somehow?
Eventually you had the ± added to compensate for the absolute value, but without that - shouldn't you actually keep track of the possible values the constant could be?

dekeltal
Автор

Do you really believe the book gave you a coincidence

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