# General solution of differential equation: $\large\frac{dy}{dx} =\frac{2x+3y+6}{4x+6y+7}$
$(a)\;7x+6y-15 \log(7(4x+6y+7)+15)=c \\ (b)\;2x+3y-15 \log(7(2x+3y-15)+15)=c \\ (c)\;-3x+6y-15 \log(7(4x+6y+7)+15)=c \\ (d)\;-x+3y-15 \log(7(2x+3y-15)+15)=c$