1. The problem is to solve a differential equation using Bessel functions. 2. Bessel's equation is typically of the form $$x^2 y'' + x y' + (x^2 - n^2) y = 0$$ where $n$ is the order of the Bessel function. 3. The general solution to Bessel's equation is $$y = C_1 J_n(x) + C_2 Y_n(x)$$ where $J_n(x)$ and $Y_n(x)$ are Bessel functions of the first and second kind respectively. 4. To solve a specific problem, identify the order $n$ and apply boundary or initial conditions to find constants $C_1$ and $C_2$. 5. Without a specific equation or conditions, the solution remains in this general form.