# Thread: Differential Equation Word Problem

1. ## Differential Equation Word Problem

I don't get what to do at all...

Find the curve such that the tangent line at any of its points P bisects the angle between the ordinate at P and the line joining P and the origin.

2. The word "tangent" of the curve means $dy/dx$ where $y(x)$ is the function describing the curve. I think the question is telling you that this tangent line pass through the origin to the point q=(0.5x,y) for any point P=(x,y).