Given that Y1 = x-1/2 cos x and y2 = x-1/2 sin x from a fundamental set of solutions of (--)- x²y" + xy' + y = 0, 0 < x < 0. Find the general solution of 2?y" + xy' + y = g3/2
Given that Y1 = x-1/2 cos x and y2 = x-1/2 sin x from a fundamental set of solutions of (--)- x²y" + xy' + y = 0, 0 < x < 0. Find the general solution of 2?y" + xy' + y = g3/2
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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Transcribed Image Text:Given that Y1 = x-1/2 cos x and y2 = x-1/2 sin x from a fundamental set of solutions of
(--)-
x²y" + xy +
y = 0,
0 <x < 0.
Find the general solution of
x²y" + xy' +
y =
p3/2
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