Find the equation of the curve whose gradient at `(x,y)` is `y/(2x)` and which passes through the point `(a,2a)`.

Find the equation of the curve whose slope is (y-1)/(x^(2)+x) and which passes through the point (1,0).

Find the equation of the curve whose slope at any point (x,y) is (-y) and which through the point (2,1)

Find the equation of the curve whose slope is given by dy/dx=(2y)/x and which passes through (1,1).

The equation of the curve whose slope is given by (dy)/(dx)=(2y)/x ; x >0,\ y >0 and which passes through the point (1,1) is

Find the equation of the normal to the curve: y^2 = 4x , which passes through the point (1,2).

Find the equation of the normal to the curve x^(2) = 4y which passes through the point (1, 2).