If `y=e^(5/x)(2x^2-1)^(1/2)` then the value of `[dy/dx]/y` is

if y=(2-x)(3-x)^((1)/(2))(1+x)^(-(1)/(2)) then the value of ([(dy)/(dx)])/(y) is

If y satisfies (dy)/(dx)=(e^(y))/(x^(2))-(1)/(x) and y(1)=0 then the value of e^(y(2)) is

If y=e^(2x)tan^(-1)2x,"then " dy/dx=

Let y=y(x) be the solution of the differential equation (dy)/(dx)=(y+1) ((y+1)e^(x^(2)/2)-x), 0 lt x lt 2.1, with y(2)=0. Then the value of (dy)/(dx) at x=1 is equal to .

x^2dy+(y-1/x)dx=0 at y(1)=1 then find the value of y(1/2)

(x^2 + y^2) dy = xy dx. If y(x_0) = e , y (1) = 1, then the value of x_0 = __________.

If y = (e^(x)+1)/(e^(x)-1), " then" (y^(2))/2 + (dy)/(dx) is equal to

If y = (e^(x)+1)/(e^(x)-1), " then" (y^(2))/2 + (dy)/(dx) is equal to

If y=e^(x^(2)/(1+x^(2))) , then (dy)/(dx)=