Final answer:
To express the given differential equation in state variable format using matrices, assume that the state variables are represented by x and u. Use the equation x' = Ax + Bu, where x' is the derivative of x with respect to time, A is a matrix representing the coefficients of the state variables, B is a matrix representing the coefficients of the input variable, and u is the input variable.
Step-by-step explanation:
To express the given differential equation in state variable format using matrices, let's assume that the state variables are represented by x and u, where x is the state variable and u is the input variable. The differential equation can be written as x' = Ax + Bu, where x' is the derivative of x with respect to time, A is a matrix representing the coefficients of the state variables, B is a matrix representing the coefficients of the input variable, and u is the input variable.
Since the question does not provide the specific values of A, B, C, and D, we cannot determine their exact values without further information. However, we can use the given differential equation to write it in state variable format using matrices, as mentioned above.