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7. y" + (x - 1)y = 0

7. y" + (x - 1)y = 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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Number 7 ONLY.

2-13 FROBENIUS METHOD Find a basis of solutions by the Frobenius method. Try to identify the series as expansions of known functions. Show the details of your work. 2. (x + 2)²y" + (x + 2)y' - y = 0 3. xy" + 2y + xy = 0 "1 4. xy + y = 0 5. xy" + (2x + 1)y' + (x + 1)y = 0 6. xy" + 2x³y + (x² − 2)y = 0 7. y" + (x - 1)y = 0 "1
Transcribed Image Text:2-13 FROBENIUS METHOD Find a basis of solutions by the Frobenius method. Try to identify the series as expansions of known functions. Show the details of your work. 2. (x + 2)²y" + (x + 2)y' - y = 0 3. xy" + 2y + xy = 0 "1 4. xy + y = 0 5. xy" + (2x + 1)y' + (x + 1)y = 0 6. xy" + 2x³y + (x² − 2)y = 0 7. y" + (x - 1)y = 0 "1
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