Mesh Law − Is another name of kirchoff voltage law. It states that the sum of all voltages drops along with emf of sources along a closed loop is zero.
Node Law − Is another name of kirchoff current law. It states that the sum of total of current entering a node is equal to sum total of current leaving the node.
Mesh analysis is used to find out the loop currents in the meshes.which is written in terms of voltages(R * I)
“Total voltage gain in the loop is equal to the total voltage drop in that loop”
Nodal analysis is used to find out node voltages in the circuit.which is written in terms of currents (V/R)
“Total current entering into the node is equal to the total current leaving from that node”