1. (a) Find the first 5 coefficients a0, a1, a2, a3, a4 of the power series expansion at zero y(x) = Σana" of the initial value problem n=0 (1-x)" y, y(0) = 1, y(0)=2

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Chapter2: Second-order Linear Odes
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1. (a)
Find the first 5 coefficients a0, a1, a2, a3, a4 of the power series expansion at zero y(x)
initial value problem
=
n=0
=
(1-x)", y(0) 1, '(0) = 2
=
(b)
Use Fuch's Theorem to estimate the radius of convergence of this power series.
ana" of the
Transcribed Image Text:1. (a) Find the first 5 coefficients a0, a1, a2, a3, a4 of the power series expansion at zero y(x) initial value problem = n=0 = (1-x)", y(0) 1, '(0) = 2 = (b) Use Fuch's Theorem to estimate the radius of convergence of this power series. ana" of the
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