Exponential Growth. a. Use separation of variables to solve the differential equation model of uninhibited growth, d P d t = k P . b. Rewrite the solution of part (a) in terms of the condition P 0 = P ( 0 ) .
Exponential Growth. a. Use separation of variables to solve the differential equation model of uninhibited growth, d P d t = k P . b. Rewrite the solution of part (a) in terms of the condition P 0 = P ( 0 ) .
Solution Summary: The author explains how to calculate the general solution of the differential equation dPt=kP by using separation of variables.
a. Use separation of variables to solve the differential equation model of uninhibited growth,
d
P
d
t
=
k
P
.
b. Rewrite the solution of part (a) in terms of the condition
P
0
=
P
(
0
)
.
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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