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For the equation y arcsinh (2/2), show that: -) we can write y-In (+√2²+4), ) for small z we have y r/8 to first order in 2, ) and that in the limit that z tends to zero we have }aresinh(a/2) → 1/8. sin z

For the equation y arcsinh (2/2), show that: -) we can write y-In (+√2²+4), ) for small z we have y r/8 to first order in 2, ) and that in the limit that z tends to zero we have }aresinh(a/2) → 1/8. sin z

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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For the equation y = arcsinh(r/2), show that: (a) we can write y = ln (z+√²²+4), (b) for small r we have y r/8 to first order in z, (c) and that in the limit that a tends to zero we have }arcsinh(z/2) → 1/8. sin z
Transcribed Image Text:For the equation y = arcsinh(r/2), show that: (a) we can write y = ln (z+√²²+4), (b) for small r we have y r/8 to first order in z, (c) and that in the limit that a tends to zero we have }arcsinh(z/2) → 1/8. sin z
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