In today’s lesson we determined that \(y=\pm\sqrt{x^2+C}-1\), for \(C\in\mathbb{R}\), is the general solution to the differential equation
\[\frac{\textrm{d}y}{\textrm{d}x}=\frac{x}{y+1}\]
As a quick exercise tonight, verify that functions of this form are indeed solutions to the differential equation.