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If z be a differentiable function of x and y and if x = c c cosh u cos v, y = csinh u sin v, then 1 prove that du? = 5c°(cosh 2u – cosh: - cosh 2v) + %3D

If z be a differentiable function of x and y and if x = c c cosh u cos v, y = csinh u sin v, then 1 prove that du? = 5c°(cosh 2u – cosh: - cosh 2v) + %3D

Advanced Engineering Mathematics
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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If z be a differentiable function of x and y and if x = c cosh u cos v, y = csinh u sin v, then prove that du? 1 c (cosh 2u – cosh 2v) %3D -
Transcribed Image Text:If z be a differentiable function of x and y and if x = c cosh u cos v, y = csinh u sin v, then prove that du? 1 c (cosh 2u – cosh 2v) %3D -
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