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## Homework Statement

I need to solve for a general solution of the following equation:

(x^2+6x+12)dy=y^2dx

**2. The attempt at a solution**

I tried using the method for seperable ODEs and got the following:

∫(x^2+6x+12)dy=∫(y^2)dx

(x^2+6x+12)y=(y^2)x+C

(x^2+6x+12-C)/x=y