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An integro-differential equation is an equation involving both the integrals and derivatives of a function. The solution to an integro-differential equation is a function which satisfies the original equation.

An integro-differential equation is an equation involving both the integrals and derivatives of a function.

Solution methods include differentiating to obtain a purely differential equation and transform methods such as the Laplace Transform.

Integro-differential equations appear in applications such as RLC linear circuits, when finding the current.