The performance of a dual source cooperative multi-hop network is investigated, where linear network coding technique is used by the intermediate nodes to combine and forward the information of two sources. A strip-shaped network is considered where each hop is characterized by a square region in which the nodes are randomly deployed that transmit the information of two sources to a common destination using cooperative decode-and-forward mechanism. The power received at a node is calculated in the presence of Rayleigh fading and path loss. The coverage of the network for a given signal-to-noise ratio (SNR) margin is found using the state distribution probabilities. Numerical simulations are performed to validate the theoretical results.