Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem. 2y''-6( cos x)y' -6y=0; y y(x)= 3+2 x- +2√x - T 3 + 2 2 X T (7) = 3, 2 - 2 2 + 2 1 3 = 3, y' X T 3 (2) +. = 2 2 (Type an expression that includes all terms up to order 4. Type an exact answer, using as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the first four nonzero terms in a power series expansion
of the solution to the given initial value problem.
2y''-6( cos x)y' -6y=0; y
y(x)= 3+2 x-
+2(x-
3
T
+
2 2
T
X
(7)
2
-
2
2
2
+
T
2
(Type an expression that includes all terms up to order 4.
Type an exact answer, using as needed.)
T
= 3, y ( 2 ):
3
y' = 2
X
3
+.
Transcribed Image Text:Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem. 2y''-6( cos x)y' -6y=0; y y(x)= 3+2 x- +2(x- 3 T + 2 2 T X (7) 2 - 2 2 2 + T 2 (Type an expression that includes all terms up to order 4. Type an exact answer, using as needed.) T = 3, y ( 2 ): 3 y' = 2 X 3 +.
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