# What is a solution to the differential equation y'=2x+1?

$y = {x}^{2} + x + C$
$\frac{\mathrm{dy}}{\mathrm{dx}} = 2 x + 1$
$\int \setminus \mathrm{dy} = \int q \quad 2 x + 1 q \quad \mathrm{dx}$
$y = {x}^{2} + x + C$