Question: First derive a recurrence relation giving on for n 2 2 in terms of co or c, (or both). Then apply the given initial conditions

First derive a recurrence relation giving on for n 2 2 in terms of co or c, (or both). Then apply the given initial conditions to find the values of co and c, . Next determine c, (in terms of n) and, finally, identify the particular solution in terms of familiar elementary functions. y'' + 9y = 0; y(0) = 0, y'(0) = 1 - 9cn The recurrence relation is On + 2 = (n + 1)(n+2) for n 20. (Type an expression using n, Cn, and Cn + 1 as the variables.) The constants are co = 0 and c1 = 1. (Type integers or fractions.) The explicit formula for the coefficients is Con = and Can + 1= for n 20
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