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Differential equation family of curves

by gaobo9109
Tags: curves, differential, equation, family
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Oct1-11, 01:05 AM
P: 66
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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