#ATTENDANCE QUIZ FOR LECTURE 3 of Dr. Z.'s Math336 Rutgers University # Please Edit this .txt page with Answers #Email ShaloshBEkhad@gmail.com #Subject: p3 #with an attachment called #p3FirstLast.txt #(e.g. p3DoronZeilberger.txt) #Right after attending the lecture, but no later than 4:00pm that day Q1. THE FIRST ATTENDANCE QUESTION WAS: Is the SIR model named after Sir Ronald Ross? A1. MY ANSWER TO THE FIRST ATTENDANCE QUESTION IS: No, SIR stand for susceptible, infected, and recovered respectively Q2. THE SECOND ATTENDANCE QUESTION WAS: Why is this property not true for y’(t)=y(t)^2 A2. MY ANSWER TO THE SECOND ATTENDANCE QUESTION IS: There are too many unique solutions for y’(t)=y(t)^2 Q3. THE THIRD ATTENDANCE QUESTION WAS: a1= 5th digit of RUID (if 0 make it 1) a2= 1st digit a3= 2nd digit Solve by hand and maple a1*y’’(t)-a2*y’(t)+a3*y(t)=0, y(0)=0, y’(0)=0 y’’(t)-y’(t)+8y(t)=0 A3. MY ANSWER TO THE THIRD ATTENDANCE QUESTION IS: y(t)=0 dsolve([y’’(t)-y’(t)+8y(t)=0, y(0)=0, y’(0)=0], y(t)) y(t)=0 Q4. THE FOURTH ATTENDANCE QUESTION WAS: Why is the property that if a(n) is a solution so is C*a(n) not valid for the non linear recurrence A4. MY ANSWER TO THE FOURTH ATTENDANCE QUESTION IS: C*a(n) would be linear to a(n), making it invalid in nonlinear recurrence.