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Solve the following differential equations using Taylor series centered at 0. It’s enough to find the...

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Advance Math

Solve the following differential equations using Taylor seriescentered at 0. It’s enough to find the recurrence relation and thefirst 3 terms of the series.

(a) y''− 2y' + y = 0

(b) y'' + xy' + 2y = 0

(c) (2 + x^2 )y'' − xy'+ 4y = 0

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