#Attendance Question 1
#a1:= Fifth Digit in Your RUID (4)
#a2:= Second Digit in Your RUID (8)
#a3:=Third Digit in Your RUID (5)
#Use Maple to Solve dy/dt = a1*t^a2/y^a3, y(1)=a2
> dsolve({diff(y(t), t) = 4*t^8/y(t)^5, y(1) = 8}, y(t));

y(t) = ((1944t^9+191101032)^(1/6))/3

#Attendance Question 2
#a1:= Fifth Digit in Your RUID (4)
#a2:= Your age (21)
#a3:= Your mother's age (55)
#Use Maple to Solve a2*y''(t)+a2*y'(t)+a3*y(t)=0

> dsolve({4*D(D(y))(t) + 21*D(y)(t) + 55*y(t) = 0, y(0) = 1, D(y)(0) = 0}, y(t));

y(t) = ((21*sqrt(439)*e^(-21t/8)*sin(sqrt(439)*t/8))/439+e^(-21t/8)*cos(sqrt(439)*t/8)

#Attendance Question 3
#a1:= Your father's age (56)
#a2:= Your mother's age (55)
#a3:= Your sibling's age (14)
#Use Maple to find the 2nd largest eigenvalue and corresponding eigenvector for a
#3x3 Matrix [[a1,a2,a3],[a2,a3,a1],[a3,a2,a1]]

> with(LinearAlgebra);

> A := Matrix([[56, 55, 14], [55, 14, 56], [14, 55, 56]]);

> evalf(Eigenvalues(A));

[125,42,-41]

> evalf(Eigenvectors(A))[2];
#2nd largest eigenvalue is 42 and its corresponding eigenvector is [1.-2,018,1]