[" Find the equation of the curve which passes through the origin and has slope "x+3y-1" at any point "],[x,y" ) on it."]

Find the equation of the curve which passes through the origin and has the slope x+3y-1 at say point (x+y) on it.

Find the equation of the cure which passes through the origin and has the slope x+3y-1\ at the point (x , y) on it.

Find the equation of the cure which passes through the origin and has the slope x+3y-1 at the point (x,y) on it.

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

Find the equation of the curve passing through (1,0) and which has slope 1+(y)/(x) at (x,y)

Find the equation to the curve passing through (2,2) and having its slope (-(x+y)/x) at the point (x,y)

Find the equation to the curve passing through (2,2) and having its slope (-(x+y)/(x)) at the point (x,y).

Find the equation of the curve passing through the origin.given that the slope of tangent to the curve at any point point is y+2x.

Find the equation of a curve passing through the origin if the slope of the tangent to the curve at any point (x,y) is equal to the square of the difference of the abscissa and the ordinate of the point.