Home
Class 12
MATHS
[OR," If "y=(ln(x+sqrt(x^(2)+1)))^(2)" t...

[OR," If "y=(ln(x+sqrt(x^(2)+1)))^(2)" then show that "],[qquad (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)=2]

Promotional Banner

Similar Questions

Explore conceptually related problems

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

If y={log(x+sqrt(x^(2)+1))}^(2), show that (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)=2

If y={log(x+sqrt(x^(2)+1))}^(2), show that (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)=2

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

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

x=tan((1)/(2)" log y") , then show that (1+x^(2))(d^(2)y)/(dx^(2))+(2x-2)(dy)/(dx)=0

If y=log[x+sqrt(x^(2)+a^(2))], show that ((x^(2)+a^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)=0

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