3.4.1 Example A An easy calculation shows that (1) Yk (3.77) Yk = 1 are solutions to the homogeneous equation Yk+2 – 3yk+1 + 2yk = 0. (3.78) Furthermore, their Casoratian is given by the following expression: C(k + 1) = 2k+1 1 2k+2 1 -2k+1. (3.79) Let us use these results to calculate a particular solution to the inhomo- geneous equation Yk+2 – 3yk+1 + 2yk = 4k + 3k². (3.80) Let Y be the particular solution, where Yk = C1(k)2* + C2(k). (3.81) The functions C1(k) and C2(k) satisfy the following equations: 2k+1AC1(k) + AC2(k) = 0, (3.82) 2*+2AC1 (k) + AC2(k) = 4* + 3k?.

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.