Answer:-
Decoupling governing equations involves simplifying a system of coupled equations to solve them independently. Start by identifying the dependencies between variables. Use methods like diagonalization, substitution, or eigenvalue analysis to separate equations. For linear systems, represent them in matrix form and compute eigenvalues and eigenvectors to decouple them. For nonlinear systems, linearize them around equilibrium points to simplify the process. Numerical techniques, like iterative solvers, can also help in complex scenarios. Decoupling makes equations more manageable, allowing for easier analysis and solution while preserving the system's behavior and relationships.
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