5. Suppose z = f (x, y), where x= g(s,t)and y= h(s,t). Show that ôz d²x ¸ ôz ô²y %3D ô°z ôx ôy ôz( ây +2 дхду д д ду?( а
5. Suppose z = f (x, y), where x= g(s,t)and y= h(s,t). Show that ôz d²x ¸ ôz ô²y %3D ô°z ôx ôy ôz( ây +2 дхду д д ду?( а
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. Suppose z = f (x,y), where x=g(s,t)and y=h(s,t). Show that
%3D
ô²z _ô²z(ôx
ô²z ôx ôy , ở²z( ôy
ôz ô’x , ôz ô²y
+2-
+
ôxôy ôt ôtôy ( ôt
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