(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Differential Equation (Solution known, but I don't understand)

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