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Consider the differential equation which has a regular singular point at a = with roots (in increasing order) r1 - 2x(x1)y" +3(x − 1)y - y = 0 0. The indicial equation for x = 0 is and r2 x²+ r+ = 0 Find the indicated terms of the following series solutions of the differential equation: (a) y (6+ x+ x²+ 23+ 2+...) x²+ x3+ 2₁+...) (b) y=(7+ x+ The closed form of solution (a) is y =

Consider the differential equation which has a regular singular point at a = with roots (in increasing order) r1 - 2x(x1)y" +3(x − 1)y - y = 0 0. The indicial equation for x = 0 is and r2 x²+ r+ = 0 Find the indicated terms of the following series solutions of the differential equation: (a) y (6+ x+ x²+ 23+ 2+...) x²+ x3+ 2₁+...) (b) y=(7+ x+ The closed form of solution (a) is y =

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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Consider the differential equation which has a regular singular point at a = with roots (in increasing order) r1 - 2x(x1)y" +3(x − 1)y - y = 0 0. The indicial equation for x = 0 is and r2 x²+ r+ = 0 Find the indicated terms of the following series solutions of the differential equation: (a) y (6+ x+ x²+ 23+ 2+...) x²+ x3+ 2₁+...) (b) y=(7+ x+ The closed form of solution (a) is y =
Transcribed Image Text:Consider the differential equation which has a regular singular point at a = with roots (in increasing order) r1 - 2x(x1)y" +3(x − 1)y - y = 0 0. The indicial equation for x = 0 is and r2 x²+ r+ = 0 Find the indicated terms of the following series solutions of the differential equation: (a) y (6+ x+ x²+ 23+ 2+...) x²+ x3+ 2₁+...) (b) y=(7+ x+ The closed form of solution (a) is y =
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