The equation of curve whose tangent at any point on it different form origin has slope `y+(y)/(x)` , is

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

The equation of curve passing through (1,3) whose slope at any point (x,y) on it is y//x^(2) is given by

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 at any point (x,y) is (-y) and which through the point (2,1)

Find the equation of a curve passing through (1,1) and whose slope of tangent at a point (x, y) is -(x)/(y) .

Find the equation of a curve passing through (1,1) and whose slope of tangent at a point (x, y) is -(x)/(y) .

The slope of the tangent at any point on a curve is lambda times the slope of the line joining the point of contact to the origin. Formulate the differential equation and hence find the equation of the curve.