Number of Bacteria.
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. The number N of bacteria in a culture grew at a rate proportional to N. The value of N was initially 100 and increased to 332 in 1 hr. The governing equation is dN dt = log(3.32)N, N(0) = 100. What is the value of N at time t = 1.5 hr.
Wan Ji on 27 Aug 2021
Here you can use symbolic solution
syms N(t) t
eq = diff(N)==log(3.32)*N
N = dsolve(eq,N(0)==100)
N_1dot5_hour = eval(subs(N,t,1.5))
So the value of N at time t = 1.5 hr is approximately 605.
More Answers (1)
CHIRAG PATEL on 20 Jan 2022
If the growth rate of a culture of bacteria is proportional to the number of bacteria present and after 1 day is 1.25 times the original number, within what interval of time will the number of bacteria (a) double, (b) triple?