## Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

We can solve this problem using only antiderivatives. $y= x^{2}+C$ is the solution of the given differential equation.
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, $y= x^{2}+C$.