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Consider the differential equation which has a regular singular point at x = p² + with roots (in increasing order) r₁ = (b) y = = 2x(x − 1)y" + 3(x — 1)y' - y = 0 - - x² (2+ x² + ...) x² + ...) Find the indicated terms of the following series solutions of the differential equation: x²+ (a) y = x²¹(2+ x+ x+ = 0. The indicial equation for x = The closed form of solution (a) is y = r+ and r2 = = 0 x²+ := 0 is x³+ x³+

Consider the differential equation which has a regular singular point at x = p² + with roots (in increasing order) r₁ = (b) y = = 2x(x − 1)y" + 3(x — 1)y' - y = 0 - - x² (2+ x² + ...) x² + ...) Find the indicated terms of the following series solutions of the differential equation: x²+ (a) y = x²¹(2+ x+ x+ = 0. The indicial equation for x = The closed form of solution (a) is y = r+ and r2 = = 0 x²+ := 0 is x³+ x³+

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 x = 0. The indicial equation for x = 0 is p² + 2x(x − 1)y" + 3(x − 1)y' — y = 0 - with roots (in increasing order) r₁ = (b) y = x¹² (2+ x² + ...) Find the indicated terms of the following series solutions of the differential equation: x² + (a) y = x¹(2+ x+ x+ r+ x² + ...) The closed form of solution (a) is y = and r2 = = 0 x² + x³ + x³+
Transcribed Image Text:Consider the differential equation which has a regular singular point at x = 0. The indicial equation for x = 0 is p² + 2x(x − 1)y" + 3(x − 1)y' — y = 0 - with roots (in increasing order) r₁ = (b) y = x¹² (2+ x² + ...) Find the indicated terms of the following series solutions of the differential equation: x² + (a) y = x¹(2+ x+ x+ r+ x² + ...) The closed form of solution (a) is y = and r2 = = 0 x² + x³ + x³+
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