State space equation from differential equation
Assuming that the inputs are $f_1$ and $f_2$,

$$\dot q = 0 \cdot q + \begin{bmatrix} \quad\left(\frac{T}{T+1}\right)\\ - \left(\frac{1}{T+1}\right)\end{bmatrix}^\top \begin{bmatrix} f_1\\ f_2\end{bmatrix}$$

Since you have not specified the outputs, the output equation cannot be written.