Home
Class 12
MATHS
If y={"log"(x+sqrt(x^2+1))}^2,"s h o wt...

If `y={"log"(x+sqrt(x^2+1))}^2,"s h o wt h a t"(1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)=2.`

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

If y=[log(x+sqrt(x^2+1))]^2 , show that, (1+x^2)(d^2y)/(dx^2)+xdy/dx=2

If y=log{x+ sqrt( x^2+a^2 )} , prove that: (x^2+a^2)(d^2y)/(dx^2)+x(dy)/(dx)=0 .

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(x^2+a^2)\ ] , show that (x^2+a^2)(d^2\ y)/(dx^2)+x(dy)/(dx)=0