Question

Solve the following recurrence relation for the given initial conditions.

y(n+2) - 0.3y(n + 1) + 0.02y(n) = 10        y(0) = 2;    y(1) = 0

Answer 1

MuPAD can be used to solve both symbolic and numeric types of calculations. MuPAD can be run by entering mupadwelcome in the command window.

 

To define a recurring equation in MuPAD, the rec function is used. The solve function is used to solve an algebraic equation.

 

The program can be defined as:

Define the recurrence equation and the initial conditions as:

r:=rec(y(n+2)-0.3*y(n+1)+0.02*y(n)=10, y(n), {y(0)=2, y(1)=0})

 

Solve the equation:

solve(r)

 

The result obtained is:

Define the recurrence equation and the initial conditions as:

 

Solve the equation:

 

Thus, the given recurrence equation has been solved.

Thus, the given recurrence equation has been solved.