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a?y" – 5xy' + 9y = 0, y1 = x³. (0, ∞). -

a?y" – 5xy' + 9y = 0, y1 = x³. (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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x²y" – 5xy' + 9y = 0, y1 = x°. (0, 00).
Transcribed Image Text:x²y" – 5xy' + 9y = 0, y1 = x°. (0, 00).
i) verify that Y1(x) is a solution. ii) Use reduction of order to find the general solution. iii) Find a fundamental solution set. iv) Find the Wronkskian, and list it's zeroes and discontinuities. Verify that the Wronskian is nonzero and continuous on the given interval.
Transcribed Image Text:i) verify that Y1(x) is a solution. ii) Use reduction of order to find the general solution. iii) Find a fundamental solution set. iv) Find the Wronkskian, and list it's zeroes and discontinuities. Verify that the Wronskian is nonzero and continuous on the given interval.
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