Linearized Differential Equation


Linearized Differential Equation : A differential equation which has been derived from an original non-linear equation by the treatment of each dependent variable as consisting of the sum of an undisturbed or steady component and a small perturbation or deviation from this mean. It is assumed that the product of two perturbation quantities is from this mean. It is assumed that the product of two perturbation quantities is negligible compared to the first order terms in the perturbations or to the undisturbed variables. This process of linearization, often called the method of small perturbations, leads to a linear differential equation with the perturbations of the original dependent variables as the new dependent variables
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