Find the first four nonzero terms in a power series expansion about x = 0 for the solution to the given initial value problem. y" + (x-4)y'-y=0; y(0) = 1, y'(0) = 0 + + ... y(x) = (Type an expression that includes all terms up to order 4.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Find the first four nonzero terms in a power series expansion about x = 0 for the solution to the given initial value problem.
y" + (x-4)y'-y=0; y(0) = 1, y'(0) = 0
+
+ ...
y(x) =
(Type an expression that includes all terms up to order 4.)
Transcribed Image Text:Find the first four nonzero terms in a power series expansion about x = 0 for the solution to the given initial value problem. y" + (x-4)y'-y=0; y(0) = 1, y'(0) = 0 + + ... y(x) = (Type an expression that includes all terms up to order 4.)
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