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[" 16.If y "sqrt(x^(2)+1)=log{sqrt(x^(2)...

[" 16.If y "sqrt(x^(2)+1)=log{sqrt(x^(2)+1)-x}" then prove that "],[qquad (x^(2)+1)(dy)/(dx)+xy+1=0]

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If y sqrt(x^(2)+1)= log (sqrt(x^(2)+1)-x) , prove that (x^(2)+1)(dy)/(dx) +xy+1=0 .

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If y=log[x+sqrt(x^(2)+1)] , then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+x(dy)/(dx)=0 .

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