A [b]first-order differential equation[/b] is an equation [math]\frac{dy}{dx}=f\left(x,y\right)[/math] in which [math]f\left(x,y\right)[/math] is a function of two variables defined on a region in the [math]xy[/math]-plane. A [b]solution [/b]to such an equation is a function [math]y=y\left(x\right)[/math]. Typically, differential equations have infinitely many solutions, and we can visualize these solutions using a [b]slope field[/b]. [br][br]In the box, type an expression in [math]x[/math] and [math]y[/math] to create a first-order differential equation and to generate the slope field of solutions.