Name: John Hermitt


Q1: What is the SIR model named after?
A:  It relates Susceptible individuals, Infected individuals, and Recovered individuals.


Q2: Why is this property not true for y’(t) = y(t)^2?
A: because the squaring of the equation makes it nonlinear, so the property no longer applies.


Q3: a1 = the fifth digit of RUID (if 0 make it 1), a2 = first digit, a3 = second digit
       Solve by hand and Maple a1*y’’(t) - a2*y’(t) + a3*y(t) = 0, y(0) = 0, y’(0) = 0
A: a1= 1, a2=1, a3 =8
y’’(t) - y’(t)+8*y(t) = 0
y’’(0) - 0 + 0 = 0
y’’(0) = 0


y(t) = 0


dsolve({y’’(t) - y’(t) + 8*y(t) = 0, y’(0) = 0, y(0) = 0}, y(t))
y(t) = 0


Q4: why is the property that if a(n) is a solution so is C*a(n) not valid for the non-linear recurrence a(n) = a(n-1)^2
A: c*a(n-1)^2 is not linear to a(n), so the property does not apply.