5. Consider the differential equation $\frac { d y } { d x } = \frac { 1 + y } { x }$, where $x \neq 0$. (a) On the axes provided, sketch a slope field for the given differential equation at the eight points indicated. (Note: Use the axes provided in the pink exam booklet.) [Figure] (b) Find the particular solution $y = f ( x )$ to the differential equation with the initial condition $f ( - 1 ) = 1$ and state its domain.
5. Consider the differential equation $\frac { d y } { d x } = \frac { 1 + y } { x }$, where $x \neq 0$.\\
(a) On the axes provided, sketch a slope field for the given differential equation at the eight points indicated.\\
(Note: Use the axes provided in the pink exam booklet.)\\
\includegraphics[max width=\textwidth, alt={}, center]{4d2b4db1-f361-4391-988d-ec99522d0d0e-6_405_647_509_741}\\
(b) Find the particular solution $y = f ( x )$ to the differential equation with the initial condition $f ( - 1 ) = 1$ and state its domain.\\