The image contains a problem involving second-order linear homogeneous differential equations with initial conditions. The problem asks to solve the following three equations:

1. $y'' - 13y' + 36y = 0, \quad y(0) = -3, \quad y'(0) = 3$
2. $36y'' + 84y' + 49y = 0, \quad y(0) = 5, \quad y'(0) = 4$
3. $y'' + 14y' + 98y = 0, \quad y(0) = 1, \quad y'(0) = 0$

To solve these, we will generally follow the process of:

1. Solving the characteristic equation associated with the differential equation.
2. Applying the initial conditions to find the particular solution.

I will solve each equation step-by-step. Would you like me to begin with the first one?