Differential equation family of curves

  1. 1. The problem statement, all variables and given/known data
    The general solution to a differential equation is given by y = 3xln(x)+cx+2. Find the equation of the locus where stationary points of solution curve lies.


    2. Relevant equations



    3. The attempt at a solution
    After I differentiate the equation, i get dy/dx = 3ln(x)+3+c. But how do i continue from here?
     
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