#ATTENDANCE QUIZ FOR LECTURE 3 of Dr. Z.'s Math336 Rutgers University\
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# Please Edit this .txt page with Answers\
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#Email  ShaloshBEkhad@gmail.com \
#Subject: p3\
#with an attachment called\
#p3FirstLast.txt\
#(e.g. p3DoronZeilberger.txt)\
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#Right after attending the lecture, but no later than 4:00pm that day\
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Name: Jeton Hida\
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LIST ALL THE ATTENDANCE QUESTIONS FOLLOWED (IF YOU KNOW THEM) BY THE ANSWERS\
\pard\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\pardirnatural\partightenfactor0

\f1 \cf0 \kerning1\expnd0\expndtw0 \outl0\strokewidth0 \
\pard\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\pardirnatural\partightenfactor0
\cf0 Q1: SIR model, is the model named after Sir Ronald Ross or does it stand for something else?\
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A1: SIR model stands for something else Susceptible, Infected, and Recovered individuals are the three compartments.\
\pard\tx720\tx1440\tx2160\tx2880\tx3600\tx4320\tx5040\tx5760\tx6480\tx7200\tx7920\tx8640\pardirnatural\partightenfactor0
\cf0 \
Q2: Why is Property 1 not true for y\'92(t)=y(t)^2\
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A2: Nonlinear equations do not really have general forms which we can follow unlike linear equations, hence why a general solution with arbitrary constants can work with linear differential equations to find a solution, but not in a nonlinear case. \
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Q3: a1:= the fifth digit of your RUID (if it is 0 make it 1) a2:= the first digit a3:=second digit\
solve by hand and Maple the diff. eq. \
a1*y\'92\'92(t)+a2*y\'92(t)+a3*y(t)=0, y(0)=0, y\'92(0)=0, for me a1=1,a2=1,a3=7\
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A3: in Maple, \
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dsolve(\{D(D(y))(t)+D(y)(t)+7*y(t)=0, y(0)=0,D(y)(0)=0\},y(t));\
                            y(t) = 0\
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solve by hand work is found in the PDF file I also sent over. \
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Q4: Why is the property that if a(n) is a solution so is C*a(n) not valid for the non linear recurrence\
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A4: Similar reasons as to what was applied to A2, solutions to linear equations are a linear combination of solutions. This does not work in the nonlinear case. }