use implicit differentiation to find dy/dx if 5xy+x^2y=10

Question

Is this correct answer for this question
(-5y-2xy)/(12x)

Answer 1

5[xdy + ydx ] +x^2 dy+y(2x dx)=0

dy(5x +x^2) + dx(5y+2xy) = 0

dy/dx = =(5y+2xy)/(x^2+5x)