Find the coefficients ao,...,an for N at least 7 in the series solution y = an(x-xo)” of the initial n=0 value problem. Take xo to be the point where the initial conditions are imposed. (1 + 2x)y" — (1 − 2x)y' – (3 − 2x)y = 0, y(1) = 1, y'(1) = -2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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7. y = 12(x - 1) +
) +
1
1
(x
− 1)²
(x − 1)² - ²/(x-
5
(x − 1)³ + (x − 1) 4
-
36
73
1080 (x-1) 5 +...
Transcribed Image Text:7. y = 12(x - 1) + ) + 1 1 (x − 1)² (x − 1)² - ²/(x- 5 (x − 1)³ + (x − 1) 4 - 36 73 1080 (x-1) 5 +...
7. Find the coefficients ao,..., an for N at least 7 in the series solution y = Σan(x − xo)” of the initial
n=0
value problem. Take xo to be the point where the initial conditions are imposed.
(1 + 2x)y" — (1 − 2x)y′ − (3 − 2x)y = 0,
y(1)= 1, y′(1) = −2
Transcribed Image Text:7. Find the coefficients ao,..., an for N at least 7 in the series solution y = Σan(x − xo)” of the initial n=0 value problem. Take xo to be the point where the initial conditions are imposed. (1 + 2x)y" — (1 − 2x)y′ − (3 − 2x)y = 0, y(1)= 1, y′(1) = −2
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