PLEASE EXPLAIN Solve the differential equation for the gener

PLEASE EXPLAIN!

Solve the differential equation for the general solution: 2x - y dy/dx =3. x2-y = 3x X2 - 3x = 1/2 y2 + C 1/2 ln |2x -3| = In |y| + C y = + C

Solution

We can rewrite it as

-y dy=(3-2x) dx
we integrate
-y²/2=3x-x²+C

y²/2+C=x²-3x

So it is B