1. Let's start by stating the problem: solve for variables $X$, $Y$, and $Z$ applying all given boundary conditions. 2. Since the exact equations and boundary conditions are not provided, I will outline the general approach: 3. Typically, you have a system of equations involving $X$, $Y$, and $Z$ and boundary conditions that specify values or relationships at certain points. 4. The general method is: - Write down the system of equations. - Apply boundary conditions to reduce the number of unknowns. - Solve the resulting system step-by-step for each variable. 5. For example, if the system is linear: $$\begin{cases} aX + bY + cZ = d \\ eX + fY + gZ = h \\ iX + jY + kZ = l \end{cases}$$ and boundary conditions specify values like $X = X_0$ at some boundary, substitute $X_0$ into the equations. 6. Then solve for $Y$ and $Z$ using substitution or matrix methods. 7. Without specific equations or boundary conditions, I cannot provide numeric solutions. 8. Please provide the system of equations and boundary conditions to proceed with detailed solutions for $X$, $Y$, and $Z$.