First derive a recurrence relation giving c, for n 22 in terms of Cn or c,...

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First derive a recurrence relation giving c, for n 22 in terms of Cn or c, (or both). Then apply the given initial conditions to find the values of cn and c1. Next determine Cn (in terms of n) and, finally, identify the particular solution in terms of familiar elementary functions. y"- 2y' +y = 0; y(0) = 0, y'(0) = 1 The recurrence relation is Cn +1= for n2 1. (Type an expression using n, C,, and c,-1 as the variables.) The constants are co = and c, = (Type integers or fractions.) The explicit formula for the coefficients is c, = for n21. y(x) = ? First derive a recurrence relation giving c, for n 22 in terms of Cn or c, (or both). Then apply the given initial conditions to find the values of cn and c1. Next determine Cn (in terms of n) and, finally, identify the particular solution in terms of familiar elementary functions. y"- 2y' +y = 0; y(0) = 0, y'(0) = 1 The recurrence relation is Cn +1= for n2 1. (Type an expression using n, C,, and c,-1 as the variables.) The constants are co = and c, = (Type integers or fractions.) The explicit formula for the coefficients is c, = for n21. y(x) = ?