Solve the differential equation below using series methods. (– 4+ x)y'' + (1+4x)y' + (4 + 4x)y = 0, y(0) = 3, y'(0) = 4 %3D %3D The first few terms of the series solution are: y = ao + a1x + azx² + azx° + aşx“
Solve the differential equation below using series methods. (– 4+ x)y'' + (1+4x)y' + (4 + 4x)y = 0, y(0) = 3, y'(0) = 4 %3D %3D The first few terms of the series solution are: y = ao + a1x + azx² + azx° + aşx“
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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Transcribed Image Text:Solve the differential equation below using series methods.
(- 4+ x)y'' + (1+ 4x)y' + (4 + 4x)y = 0, y(0) = 3, y'(0) = 4
The first few terms of the series solution are:
y = ao + a1x + a2x² + azx³ + a,x*
Where:
ao =
a1 =
a2 =
%3D
az =
a4 =
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