Answer
We can solve this problem using only antiderivatives.
$y= x^{2}+C$ is the solution of the given differential equation.
Work Step by Step
Given: $\frac{dy}{dx}=2x$
Integrating on both sides, we get
$\int \frac{dy}{dx}=\int 2x$
$⇒y=2\times\frac{x^{2}}{2}+C$
That is, $y= x^{2}+C$.
