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Sinh(2×lnx)

Sinh(2×lnx)

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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  1. Sinh(2×lnx)
2. Rewrite the following expressions in terms of exponentials, write the final result as simply as you can : 1 a) Sinh( 2.Inx) b) Coshx – Sinhx d) In(Coshx + Sinhx) + In(Coshx - Sinhx) ~* ; 0 ) 1 c) Cosh3x – Sinh3x -3x (ans.:(x'-1)/(2x²); e* ; e 3. Solve the equation for x ; tanh x = 3/5 . (ans.: In 2)
Transcribed Image Text:2. Rewrite the following expressions in terms of exponentials, write the final result as simply as you can : 1 a) Sinh( 2.Inx) b) Coshx – Sinhx d) In(Coshx + Sinhx) + In(Coshx - Sinhx) ~* ; 0 ) 1 c) Cosh3x – Sinh3x -3x (ans.:(x'-1)/(2x²); e* ; e 3. Solve the equation for x ; tanh x = 3/5 . (ans.: In 2)
(ans . : Coshu = 5/3; Sinhu = ±4 / 3; tanhu = + 4/5;Cothu = ± 5/4;Cschu = t 3/4) %3D %3D %3D 2. Rewrite the following expressions in terms of exponentials, write the final result as simply as you can : 1. a ) Sinh( 2.ln x) 1 b ) Coshx – Sinhx 1 c) Cosh3x – Sinh3x d) In(Coshx + Sinhx ) + In(Coshx - Sinhx (ans.:(xʻ-1)/(2x²); e* ; e¯* ; 0 ) 3. Solve the equation for x; tanh x = 3/5 . \h %3D (ans.: In 2 )
Transcribed Image Text:(ans . : Coshu = 5/3; Sinhu = ±4 / 3; tanhu = + 4/5;Cothu = ± 5/4;Cschu = t 3/4) %3D %3D %3D 2. Rewrite the following expressions in terms of exponentials, write the final result as simply as you can : 1. a ) Sinh( 2.ln x) 1 b ) Coshx – Sinhx 1 c) Cosh3x – Sinh3x d) In(Coshx + Sinhx ) + In(Coshx - Sinhx (ans.:(xʻ-1)/(2x²); e* ; e¯* ; 0 ) 3. Solve the equation for x; tanh x = 3/5 . \h %3D (ans.: In 2 )
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