Given that y = x is a solution ofd'ydx²(15x). + (15) y = 0,dydx(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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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.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.8: Linear And Quadratic Functions

Problem 4ST

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Question

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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