Give a recursive relation for the coefficients of a power series solu- tion with center xo 1 of the equation 3y" + (x² − 2x + 2)y' + (x + 1)y = 0 = with initial conditions y(1) = −6 and y′(1) = 0, and determine the coefficients a2 and a3.

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Chapter2: Second-order Linear Odes
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(6) Give a recursive relation for the coefficients of a power series solu-
tion with center xo 1 of the equation
3y" + (x² − 2x + 2)y' + (x + 1)y = 0
with initial conditions y(1) = −6 and y'(1) = 0, and determine the
-6
coefficients a2 and az.
-
Transcribed Image Text:(6) Give a recursive relation for the coefficients of a power series solu- tion with center xo 1 of the equation 3y" + (x² − 2x + 2)y' + (x + 1)y = 0 with initial conditions y(1) = −6 and y'(1) = 0, and determine the -6 coefficients a2 and az. -
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