5. It is given that two linearly independent solutions of x²y + xy + - y=0, x>0 are -1/2 sina and -1/2 cos z. Find the general solution of 2 2²y" + xy² + ( 2² - ² ) v = 5.pk/2sin, x > 0.
5. It is given that two linearly independent solutions of x²y + xy + - y=0, x>0 are -1/2 sina and -1/2 cos z. Find the general solution of 2 2²y" + xy² + ( 2² - ² ) v = 5.pk/2sin, x > 0.
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:5. It is given that two linearly independent solutions of
a²2y" + xy +
-
y=0, x>0
are æ-1/2 sina and -1/2 cos z. Find the general solution of
2²³y² + xy² + (2²_
-) v = 50²4/²4
2 sinz, x>0.
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