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  • The solution of the equation 3 sinh x - cosh x =1 , is

The solution of the equation 3 sinh x - cosh x =1 , is

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Solution:     We have ,     3sinh x-cosh x=1

                  Rightarrow         3(frace^x-e^-x2)-(frace^x+e^-x2)=1

                   Rightarrow                          e^x-(frac2e^x)=1

                  Rightarrow             t^2-t-2=0,   where   e^x=t.

                   Now ,        t eq-1           ,    e^x eq-1

                   herefore                e^x=2Rightarrow x=ln 2 .   

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Deependra Verma

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