Home
Class 12
MATHS
[" 8."quad " ( ) if "y=log(x+sqrt(x^(2)+...

[" 8."quad " ( ) if "y=log(x+sqrt(x^(2)+a^(2)))" ,show that,"],[qquad (a^(2)+x^(2))y_(2)+xy_(1)=0]

Promotional Banner

Similar Questions

Explore conceptually related problems

If y=log(x+sqrt(x^2+a^2)) , show that (a^2+x^2)y_2+xy_1=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={x+sqrt(x^(2)+1)}^(m), show that (x^(2)+1)y_(2)+xy_(1)-m^(2)y=0

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(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

y=[log(x+sqrt(x^(2)+1))]^(2) then prove that (x^(2)+1)y_(2)+xy_(1)=2

If log y=tan^(-1)x, show that (1+x^(2))y_(2)+(2x-1)y_(1)=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