Answer
y=$\frac{1}{x}$+2
Work Step by Step
$\frac{dy}{dx}$= $-x^{-2}$
$\int\frac{dy}{dx}$=$\int-x^{-2}$
y = $\frac{-x^{-1}}{-1}$ + c
y = $\frac{1}{x}$ + c
Using the point (1,3), the particular solution can be found
3 = $\frac{1}{1}$ + c
c = 2
Plug in c to the general solution
y=$\frac{1}{x}$+2
