- #1
rppearso
- 204
- 3
I am at a dilemma trying to solve a simple first order differential equation of the form;
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.
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.