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Show that tan²t+ cot2 t = 1 is a a² possible form of the boundary sur face o aliquid and find an ex pression for the normal vel ocity. 62.

Show that tan²t+ cot2 t = 1 is a a² possible form of the boundary sur face o aliquid and find an ex pression for the normal vel ocity. 62.

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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x² Show that tan²t+ cot2 t = 1 is a a² possible form of the boundary surface of aliquid and find an ex pression for the normal velocity. y 62.
Transcribed Image Text:x² Show that tan²t+ cot2 t = 1 is a a² possible form of the boundary surface of aliquid and find an ex pression for the normal velocity. y 62.
Expert Solution
Step 1: Solution

If we take f(t)=tan2 t  then it is proved 
 evidently that the given F(x,y,t) is a possible
 form of the boundary surface.

u equals negative fraction numerator x space f apostrophe left parenthesis t right parenthesis over denominator 2 space f left parenthesis t right parenthesis end fraction space space a n d space v equals fraction numerator y space f apostrophe left parenthesis t right parenthesis over denominator 2 space f left parenthesis t right parenthesis end fraction
 

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