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- why do we call nonlinear differential equation as nonlinear?

hi, i am working on nonlinear differential equation- i know rules which decide the equation to be nonlinear - but i want an answer by which i can satisfy a lay man that why the word nonlinear is used.

it is easy to explain nonlinearity in case of simple equation i.e when output is not proportional to the input. but how can we explain the nonlinearity of Differential equation qualitatively.

regards wasi

it is easy to explain nonlinearity in case of simple equation i.e when output is not proportional to the input. but how can we explain the nonlinearity of Differential equation qualitatively.

regards wasi