Let's consider the following special hypergeometric equation (la) (1b) (1c) x(x − 1)y" + (3x - 1)y' + y = 0 - (1.1) Classify all points of 'concern' for this ODE. Check whether x = 0 is an ordinary or a singular point. We are looking for series solutions around x = 0. Based on your answer to part (a), obtain a series solution around x = 0. Did you get two linearly independent solutions? If not, can you use one to get another using reduction of order?

Let's consider the following special hypergeometric equation (la) (1b) (1c) x(x − 1)y" + (3x - 1)y' + y = 0 - (1.1) Classify all points of 'concern' for this ODE. Check whether x = 0 is an ordinary or a singular point. We are looking for series solutions around x = 0. Based on your answer to part (a), obtain a series solution around x = 0. Did you get two linearly independent solutions? If not, can you use one to get another using reduction of order?

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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