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4. (a) find and solve the indicial equation, (b) determine the appropriate form of each of the two linearly independent solution (c) find the first five nonzero terms of the two linearly independent solutions. (i) (ii) xy" + (1-x) y' + y = 0 x(x-1)y" + 3y' -2y = 0

4. (a) find and solve the indicial equation, (b) determine the appropriate form of each of the two linearly independent solution (c) find the first five nonzero terms of the two linearly independent solutions. (i) (ii) xy" + (1-x) y' + y = 0 x(x-1)y" + 3y' -2y = 0

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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4. (a) find and solve the indicial equation, (b) determine the appropriate form of each of the two linearly independent solution (c) find the first five nonzero terms of the two linearly independent solutions. (i) (ii) xy" + (1-x) y' + y = 0 x(x-1) y" + 3y' -2y = 0 5. Find only the form that the two linearly independent solution should take (i) 25x(1-x²) y" - 20(5x-2)y' + (25x- 4/x)y = 0
Transcribed Image Text:4. (a) find and solve the indicial equation, (b) determine the appropriate form of each of the two linearly independent solution (c) find the first five nonzero terms of the two linearly independent solutions. (i) (ii) xy" + (1-x) y' + y = 0 x(x-1) y" + 3y' -2y = 0 5. Find only the form that the two linearly independent solution should take (i) 25x(1-x²) y" - 20(5x-2)y' + (25x- 4/x)y = 0
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