
Substitute
, so that
, and

which is separable as

Integrate both sides with respect to
. For the integral on the left, first split into partial fractions:



Solve for
:






Replace
and solve for
:


Now use the given initial condition to solve for
:

so that the particular solution is

It’s 5 1/3 because 16 divided by 3 is 5 1/3
Answer:
C. c(t) = 21 + 12t
Step-by-step explanation: