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, at any point, (x, y) is (y)/(x^(2)) and which stisfies the conditon y=1 when x=3.

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

The equation of one of the curves whose slope at any point is equal to y+2x and y(0)=0 is

Find the equation of the curve which passes through the point (3,-4) and has the slope (2y)/x at any point (x , y) on it.

Find the equation of a curve, the slope of tangent to which at any point (x,y) other than origin is y+y/x .

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