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Given that y = x is a solution of ď²y (x²(5 + x²)). dx² (15x) dy + (15)y=0, in x > 0, find another solution yc of the same equation such that {x, ye(x)} is a fundamental set of solutions.

Given that y = x is a solution of ď²y (x²(5 + x²)). dx² (15x) dy + (15)y=0, in x > 0, find another solution yc of the same equation such that {x, ye(x)} is a fundamental set of solutions.

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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Given that y = x is a solution of d'y dx² (15x). + (15) y = 0, dy dx (x² (5+x²)). in x > 0, find another solution yc of the same equation such that {x, y(x)} is a fundamental set of solutions. Yc = -
Transcribed Image Text:Given that y = x is a solution of d'y dx² (15x). + (15) y = 0, dy dx (x² (5+x²)). in x > 0, find another solution yc of the same equation such that {x, y(x)} is a fundamental set of solutions. Yc = -
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