[" If "y=(x+sqrt(x^(2)-1))^(m)" show "],[(x^(2)+1)(d^(2)y)/(dx^(2))+x(dy)/(dx)-m^(2)y=0]

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If y=(x+sqrt(x^(2)-1))^(m) , show that (x^(2)-1)(d^(2)y)/(dx^(2))+x(dy)/(dx)=m^(2)y

If y={x +sqrt(x^(2)+1)}^(m) , then show that (x^(2)+1)(d^(2)y)/(dx^(2))+x(dy)/(dx)-m^(2)y=0.

If y=(x+sqrt(1+x^(2)))^(n) then (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)

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