In Problems 19 through 22, first derive a recurrence relation giving c n for n 2 in terms of c 0 or c 1 (or both) Then apply the given initial conditions to find the values of c 0 and c 1 Next determine c n (in terms of n, as in the text) and, finally, identify the particular solution in terms of familiar elementary functions y ' ' 4y 0 y(0) 2, y '(0) 0

Question: In Problems 19 through 22, first derive a recurrence relation giving c n for n 2 in terms of c 0 or c 1

In Problems 19 through 22, first derive a recurrence relation giving c_n for n ≧ 2 in terms of c₀ or c₁ (or both). Then apply the given initial conditions to find the values of c₀ and c₁. Next determine c_n (in terms of n, as in the text) and, finally, identify the particular solution in terms of familiar elementary functions.

y'' - 4y = 0; y(0) = 2, y'(0) = 0

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