Home
Class 11
MATHS
If y=x+1/x, show that x^2(dy)/(dx)-x y+2...

If `y=x+1/x,` show that `x^2(dy)/(dx)-x y+2=0`.

Promotional Banner

Similar Questions

Explore conceptually related problems

If y=sqrt(x)+(1)/(x), Show that 2x(dy)/(dx)+y=2sqrt(x)

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

Given that y= sqrt( (1-x)/( 1+x)) show that (1-x^(2) ) (dy)/( dx) + y=0

If y=tan^(-1)x , show that (1+x^2)(d^2y)/(dx^2)+2x(dy)/(dx)=0 .

If y = tan^(-1)x show that (1+x^2)(d^2y)/(dx^2) + 2x(dy)/(dx) = 0

If y=sin^(-1)x , show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=0 .

If y=sin^(-1) x , show that ((dy)/(dx))_(x=0)=1 .

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

If y = sin^-1x , then show that (1-x^2)(d^2y)/(dx^2)- x dy/dx = 0

If y=sin^(-1)x , show that (1-x^2)\ (d^2y)/(dx^2)-x(dy)/(dx)=0 .