1. The problem statement, all variables and given/known data A curve passes through the point (0,6) and has the property that the slope of the curve at every point P is twice the y-coordinate of P. What is the equation of the curve? 2. Relevant equations Y=Yoe^kx is a solution of (dy/dx)=ky, where k is constant 3. The attempt at a solution I integrated to get the equation for Y above but I am not given any equation to relate x and Y. My initial thought was to set dy/dx=2ky since the slope is always twice the y value. I need to find k but I can't do that without knowing a way to relate x and Y.