Q1. solve differential equation with variables relating to RUID
A:
a1= 0
A2 = 8
A3 = 4
dsolve({diff(y(t), t) = 0*t^8/y^4, y(1) = 8}, y(t))
y(t) = 8


Q2. solve differential equation with variables relating to RUID, my age, and mother’s age
A:
dsolve({0 = 2*y’’(t) + 21*y’(t) + 60*y(t), y(0) = 1, y’(0) = 0}, y(t))
y(t) = (7*sqrt(39)*exp(-(21*t)/4)*sin(sqrt(39)*t/4))/13 + exp(-(21*t)/4)*cos(sqrt(39)*t/4)


Q3. find eigenvalues and eigenvectors of the matrix made up of mom’s age, dad’s age and sibling’s age.
A:
A = matrix([[62, 60, 19], [60, 19, 62], [19, 60, 62]])


evalf(Eigenvalues(A))
eigenvalues(A)


evalf(Eigenvectors(A))
eigenvectors(A)