(a) Using a power series appro ach about the point a= 0, show that the general solution of the ODE (22- 2) y" – 2ry– 2y = 0 is 1(1- 1 y(x) = A -I'+. 630 +B [r 12 360 60 where A and B are const ant s. St at e the domain of validity of this solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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0, show that the general solution
(a) Using a power series appro ach about the point z=
of the ODE
(2-2) y/"– 2ry- 2y = 0
is
1
(1-
1
y(x) = A
92
+B[r
60
12
360
630
where A and B are const ant s. St at e the domain of validity of this solution.
Transcribed Image Text:0, show that the general solution (a) Using a power series appro ach about the point z= of the ODE (2-2) y/"– 2ry- 2y = 0 is 1 (1- 1 y(x) = A 92 +B[r 60 12 360 630 where A and B are const ant s. St at e the domain of validity of this solution.
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