Find the first three nonzero terms, or as many as exist, in the series expansion about x = 0 for a general solution to the given equation for x > 0. 49x²y" + 49x²y' +6y=0 The equation has a general solution in the form C₁y₁ (x) + C₂Y₂(x) where y₁ (x) is obtained from the root of the associated indicial equation with the largest real value. y₁(x) = ?+...and y₂(x) = ? + ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Find the first three nonzero terms, or as many as exist, in the series expansion about x = 0 for a general solution to the
given equation for x > 0.
49x²y" + 49x²y' +6y=0
The equation has a general solution in the form C₁y₁ (x) + C₂Y₂(x) where y₁ (x) is obtained from the root of the
associated indicial equation with the largest real value.
y₁(x) = ? + ... and y₂(x) = ? + ...
Transcribed Image Text:Find the first three nonzero terms, or as many as exist, in the series expansion about x = 0 for a general solution to the given equation for x > 0. 49x²y" + 49x²y' +6y=0 The equation has a general solution in the form C₁y₁ (x) + C₂Y₂(x) where y₁ (x) is obtained from the root of the associated indicial equation with the largest real value. y₁(x) = ? + ... and y₂(x) = ? + ...
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