Find the power series solution with center at x = equation = -1 of the differential (3x² + 6x +4)y" + (x+1)y - y = 0 with initial conditions y(-1) = 24 and y'(-1) = 7. You must give a recur- sive formula for the general coefficients and then calculate all coefficients up to degree five.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the power series solution with center at zo = -1 of the differential
equation
(3x² + 6x + 4)y" + (x+1)y - y = 0
with initial conditions y(-1) = 24 and y'(-1) = 7. You must give a recur-
sive formula for the general coefficients and then calculate all coefficients
up to degree five.
Transcribed Image Text:Find the power series solution with center at zo = -1 of the differential equation (3x² + 6x + 4)y" + (x+1)y - y = 0 with initial conditions y(-1) = 24 and y'(-1) = 7. You must give a recur- sive formula for the general coefficients and then calculate all coefficients up to degree five.
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