For the initial value problem y00 D y0 C y; y.0/ D 0; y.1/
Chapter , Problem 25(choose chapter or problem)
For the initial value problem y00 D y0 C y; y.0/ D 0; y.1/ D 1 derive the power series solution y.x/ D X1 nD1 Fn n xn where fFng 1 nD0 is the sequence 0, 1, 1, 2, 3, 5, 8, 13, ::: of Fibonacci numbers defined by F0 D 0, F1 D 1, Fn D Fn2 C Fn1 for n>1.
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