1. The problem is to solve a differential equation, but since the specific equation is not provided, I will explain a common method used to solve differential equations: separation of variables. 2. Separation of variables is used when the differential equation can be written in the form $$\frac{dy}{dx} = g(x)h(y)$$. 3. The method involves rearranging the equation to isolate all terms involving $y$ on one side and all terms involving $x$ on the other side: $$\frac{1}{h(y)} dy = g(x) dx$$. 4. Next, integrate both sides: $$\int \frac{1}{h(y)} dy = \int g(x) dx + C$$, where $C$ is the constant of integration. 5. After integration, solve for $y$ explicitly if possible. 6. This method works well for first-order separable differential equations and is a fundamental technique in differential equations. If you provide the specific differential equation, I can show the exact method used to solve it.