Integrals and Ordinary Differential Equations
A continuous function g is called a primitive of another function f if the derivative of g exists and coincides with f. A primitive thus is an indefinite integral. We derive the basic rules for the computation of integrals. We use the Banach fixed point theorem to derive the Picard-Lindelöf theorem on the local existence of solutions or integrals of ordinary differential equations (ODEs).
KeywordsOrdinary Differential Equation Step Function Bounded Interval Local Existence Unique Fixed Point
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