1. The problem statement, all variables and given/known data In this problem, a function y= g(x) is described. Write a differential equation of the form "dy/dx=f(x,y) having the function g as it's solution (or one of it's solutions). The line tangent to the graph of g at the point (x,y) intersects the x-axis at the point (x/2,0). 2. Relevant equations 3. The attempt at a solution The solution is y'=2y/x. I'm having trouble seeing both why and how.