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terms in the series on 2x²y" +6y'- 4y= C

terms in the series on 2x²y" +6y'- 4y= C

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the method of Frobenius and a reduction of order procedure to find the first three nonzero terms in the series expansion about the irregular singular point x =0 for a general solution to the differential equation 2x²y'' + 6y' - 4y= 0. Let y₁ (x) and y₂(x) be two linearly independent solutions. Write the general solution y(x) using the first three terms of y₁ (x) and at most the first three terms of y₂(x).
Transcribed Image Text:Use the method of Frobenius and a reduction of order procedure to find the first three nonzero terms in the series expansion about the irregular singular point x =0 for a general solution to the differential equation 2x²y'' + 6y' - 4y= 0. Let y₁ (x) and y₂(x) be two linearly independent solutions. Write the general solution y(x) using the first three terms of y₁ (x) and at most the first three terms of y₂(x).
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this is incorrect also use an expression that uses C1 and C2

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