# Math Help - Differential question

1. ## Differential question

Why can both y = x - 3 and y = x + 2 both be considered solutions to the differential equation dy/dx - 1 = 0?

2. Because,

$\frac{dy}{dx}=1$

$dy = dx$

$y = x + C$

So any solution in the form $y=x+C$ is correct.