1. The problem statement, all variables and given/known data Solve 6x^2*y^2*dx+4x^3*y*dy=0. 2. Relevant equations This is an exact equation. 3. The attempt at a solution Here's my work: 6x^2*y^2*dx=-4x^3*y*dy 1/x dx=-2/3*1/y*dy ln abs(x)+C=-2/3*ln abs(y) 1/y^(2/3)=Cx y^(2/3)=1/(Cx) xy^(2/3)=1/C C=1/(xy^(2/3)) But the answer in the book says 2x^3*y^2=C. Is the book's answer correct and my answer is wrong or vice versa? Please correct me and tell me what to do if I'm wrong.