The spread of an infection from a single individual to a population of Nuninfectedpersons can be described by the equation = -Rx(N + l - x) with initial condition x(O) = Nwhere x is the number of uninfected individuals and R is a positive rate constant.Solve this differential equation symbolically for x(t). Also, determinesymbolically the timet at which the infection rate dx!dt is maximum.

8/22/16 MA 26100 Multivariable Calculus Introduction: Professor: Dr. Joseph Chen, Purdue University Office Hours: MWF 9:00 – 11:00 AM in MATH 848 Textbook: Calculus: Early Transcendentals – 7 Edition, Stewart Exam Dates: Exam 1 – 9/29/16, Exam 2 – 11/8/16 (100 Points Each), Final – TBD (200 Points) Class is worth 550 Points Review:...