when i solve dy/dt= y-b(adsbygoogle = window.adsbygoogle || []).push({});

(1/y-b)(dy/dt)=1

d(ln│y-b│)/dt=1

when i integrate both sides respect to t,

ln│y-b│=t+c (c is a constant)

y=±e^(at+c)+b

=±c1*e^at + b (c1 is a constant)

then the book replaces ±c1 with c2 (constant)

but isn't it wrong to do so? Because c2 can't show that it can have two answers.

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# About simple differential equations

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