Answer
$\dfrac{dy}{dx}=\dfrac{1}{x}$ and $y(1)=0$
Work Step by Step
In order to determine the differential equation we will have to take the derivative of the differential equation.
Here, we have
$\dfrac{dy}{dx}=\dfrac{1}{x}$
Apply the initial conditions:
Then, we have $y(1)=0$
Hence, our answers are: $\dfrac{dy}{dx}=\dfrac{1}{x}$ and $y(1)=0$
