1. The problem is to solve the differential equation for $y'$, which means finding $y$ as a function of $x$ given $y' = \frac{dy}{dx}$. 2. Since the problem statement is incomplete, I will assume a general approach: if $y' = f(x)$, then to find $y$, integrate both sides with respect to $x$: $$ y = \int y' \, dx = \int f(x) \, dx + C $$ where $C$ is the constant of integration. 3. Without a specific function $f(x)$ given, the solution is expressed as the integral of $f(x)$ plus $C$. 4. If you provide the explicit form of $y'$, I can solve it step-by-step. Final answer: $$ y = \int y' \, dx + C $$