MPCS 50103 — Problem Set 9

Instructions

This problem set will not be graded. Solutions to Problems will be posted on Canvas after Friday March 13.

Problems

1. Solve the recurrence $a_n = 4 a_{n-1} - a_{n-2} - 6 a_{n-3}$ under the initial conditions $a_0 = 1, a_1 = 0, a_2 = 6$.
2. Solve the recurrence $a_n = - a_{n-1} + 16 a_{n-2} - 20 a_{n-3}$ under the initial conditions $a_0 = 1, a_1 = -17, a_2 = 75$.

Exercises

1. Rosen 8.1 Exercises 7, 9
2. Rosen 8.2 Exercises 3, 15, 17, 19