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