Why Is C Written as \frac{1}{N_0} in the Solution Manual?

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kasse
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[tex] \frac{dN}{dt}=-k_sN^2[/tex]

Attempt:

[tex] \frac{1}{N^2}dN = -k_s dt[/tex]

Integrate:

[tex] -\frac{1}{N} + C = -k_s t[/tex]

In the solution manual, C is written [/tex]\frac{1}{N_0}[/tex]

Why?
 
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You posted this already and I replied to it in the other thread.