What have differential equations to do with differentiation.

Differential equations such as

$$y^{''}+p(x)y^{'}+q(x)y=g(x)$$

have derivative sign. What do these have to do with derivatives? I do not see limits incorporated into definition of differentiation equations. Am I missing something?

Thank You.

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1 Answer

You have an equation in terms of a function and its derivatives. Hence, differential equation.

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