1. The problem statement, all variables and given/known data Consider the differential equation dy/dx = 2y-4x a. Find the value of b for which y=2x+b is a solution to the given differential equation b.Let g be the function that satisfies the given differential equation with the initial condition g(0)=0. Does the graph of g have a local extremum at the point (0,0) ? If so, is the point a local maximum or minimum 2. Relevant equations integration, derivative 3. The attempt at a solution a. So I choose point (1,0) and plug in y=2x+b and solve for b=1. Then I have y=2x+1. AM I right ? It seems too easy to be right. Is it harder than I thought ? b. So do I have to integrate ? I found that (0,0) is a critical point. How do I move on ?