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i) Show that the real solution of tanh x = cosechx can be written in the form x = In u + vu. Find an explicit value for u.

i) Show that the real solution of tanh x = cosechx can be written in the form x = In u + vu. Find an explicit value for u.

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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Solve Q5a(i) & (ii) with detailed explanations

5. a) i) Show that the real solution of tanh x = cosechx can be written in the form x = In u + Vu. Find an explicit value for u. In 2 5 cosh x-3 sinh x b) Solve in N, the system of equations ii) Show that" 1 dx = n- tanh-(). 3x = 17(mod103) 5x = 2(mod7)
Transcribed Image Text:5. a) i) Show that the real solution of tanh x = cosechx can be written in the form x = In u + Vu. Find an explicit value for u. In 2 5 cosh x-3 sinh x b) Solve in N, the system of equations ii) Show that" 1 dx = n- tanh-(). 3x = 17(mod103) 5x = 2(mod7)
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