17. Solve the equation $y^{\prime}=x+3$.
Solution. It is required to find the function $y(x)$, the derivative of which is equal to $x+3$, i.e., to find the antiderivative of the function $x+3$. According to the rules of integration, we obtain the general solution of the equation in the form $y=\frac{x^{2}}{2}+3 x+C$, where $C$ is an arbitrary constant.