Solve detailly 4(i) and (ii) showing clearly each step and explanation. 4. Using the definition of sech x ,x 20 in terms of ex, prove that1+V1-x2sechx = In,0

Name: Solve detailly 4(i) and (ii) showing clearly each step and explanation
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Description: Solve detailly 4(i) and (ii) showing clearly each step and explanation. 4. Using the definition of sech x ,x 20 in terms of ex, prove that1+V1-x2sechx = In,0

Answered: 4. Using the definition of sech x ,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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Solve detailly 4(i) and (ii) showing clearly each step and explanation.

4. Using the definition of sech x ,x 20 in terms of ex, prove that
1+V1-x2
sech
x = In
,0<x <1
Hence, or otherwise, show that
d
-1
(i)
(sech-1x):
dx
xV1- x2
1
1
In(2+ v3)
2.
(ii)
sech 1
x dx:
%3D
11
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