Complete the following mcq:
Q1: We have the differential equation xn+2 -5 xn+1/6 +xn/6=0. x0=1,x1=1/2. We simulate it with 64-bits floating point. For a large value of n the calculated solution will be:
A. 0
B. 3-n
C: 2-n
D. 2-n+3-n
E. overflow
Q2: A second order in homoegeneous differential equation has the solution
xn=1+C3n+D5-n
If one are given two start values one would obtain that it is:
xn=1+5-n
If the equation is simulated on a pc with 64-bits floating point one would get for large n that the computed result would be
A.0
C.1+5-n
C: 3n
D. overflow
E. 1