I am at a dilemma trying to solve a simple first order differential equation of the form;(adsbygoogle = window.adsbygoogle || []).push({});

dT/dt + C1*T = C2 the solution to this differential equation is T = C2/C1 + exp(-C1t)

Which is equivalent to t= 1/-C1*ln(T+C2/C1)

The integral table states that the solution to an integral of the form:

dT/(aT+b) = 1/a*ln(a*T+b)

Both of these equations assume no constants of integration,

There is an extra C1 in the differential equation solution that is not in the integral.

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# 1st order diff equ vs integral tables

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