Answer
$${\text{The answer is the option }}\left( {\bf{c}} \right)$$
Work Step by Step
$$\eqalign{
& y' - 2x = 0 \cr
& {\text{Write }}y'{\text{ as }}\frac{{dy}}{{dx}} \cr
& \frac{{dy}}{{dx}} - 2x = 0 \cr
& {\text{Separate the variables}} \cr
& \frac{{dy}}{{dx}} = 2x \cr
& dy = 2xdx \cr
& {\text{Integrate both sides}} \cr
& \int {dy} = \int {2x} dx \cr
& y = {x^2} + C \cr
& {\text{The answer is option }}\left( {\bf{c}} \right) \cr} $$
