The general solution of the given below differential equation is a family of curve where $4a$ is length of the latus rectum which looks $y \large\frac{dy}{dx}$$=2a$

Question

Answer 1

$y \large\frac{dy}{dx}$$=2a$

$\large\frac{y^2}{2} $$=2ax+c$

Hence a is the correct answer.