#ATTENDANCE QUIZ FOR LECTURE 2 of Dr. Z.'s Math336 Rutgers University


# Please Edit this .txt page with Answers


#Email  ShaloshBEkhad@gmail.com 
#Subject: p2
#with an attachment called
#p2FirstLast.txt
#(e.g. p2DoronZeilberger.txt)


#Right after attending the lecture  but no later than  Tue., Sept. 7, 4:00pm, 2021, 4:00pm


LIST ALL THE ATTENDANCE QUESTIONS FOLLOWED BY THEIR ANSWERS
1. Let 
a1=0
a2=8
a3=7


Solve
y’(t)=a1*t^a2/y^a3, y(2)= a2


dsolve({diff(y(t),t)=(0*t^8)/(y^7), y(1)=8}, y(t))
                        y(t)=8


2. Let 
a1=0
a2=21
a3=43


Solve
a1*y’’(t)+a2*y’(t)+a3*y(t)=0, subject to y(0)=1, y’(0)=0
dsolve({0=0*y’’(t)+21*y’(t)+43*y(t)=0, y(0)=1, y’(0)=0}, y(t))




3. Let 
45=0
43=21
17=43


A=[[a1,a2,a3],[a2,a3,a1],[a3,a2,a1]]
Find the second largest eigenvalue and corresponding eigenvector


A:=[[45,43,17],[43,17,45],[17,43,45]]
Evalf(Eigenvalues(A));
Evalf(Eigenvalues(A))[2];