Question

3. Find the first three nonzero terms in a power series expansion about to 1 of the general solution of the differential equation xy + y = 0. Hint: Compute up to a2.

Answer 1

First consider power series solution according to sigularity of differential equation. Then put value of y, y' in given equation to find coefficient of solution term.a0=constant,a1=0,a2=0.
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