The parametric form of the solutions of the PDES -y zz + x zy = 0 , 2(s, s²) = s %3D S. is a (s, t) = s cost - s? sin t, y (s, t) = s sint – s? cost, z (s, t) = -s a (s, t) = s cost + s? sin t, y (s, t) = s sint + s? cos t, : (s, t) = s None æ (s, t) = s cost - s? sint, y (s, t) = s sint - s? cos t, z (s, t) = s
The parametric form of the solutions of the PDES -y zz + x zy = 0 , 2(s, s²) = s %3D S. is a (s, t) = s cost - s? sin t, y (s, t) = s sint – s? cost, z (s, t) = -s a (s, t) = s cost + s? sin t, y (s, t) = s sint + s? cos t, : (s, t) = s None æ (s, t) = s cost - s? sint, y (s, t) = s sint - s? cos t, z (s, t) = s
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:The parametric form of the
solutions of the PDES
-y žz + x zy = 0 ,
z (s, s²) = s³
%3D
is
x (s, t) = s cos t – s? sint, y (s, t) = s sint – s² cost, z (s, t) = -s3
æ (s, t) = s cos t + s? sin t, y (s, t) = s sint + s² cos t, z (s, t) = s3
None
x (s, t) = s cost – s? sin t, y (s, t) = s sint - s? cost, z (s, t) = s3
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