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differential-equations

Existence and uniqueness (the Picard-Lindelof hypotheses)

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The shooting method Boundary-value problems vs. initial-value problems Existence and uniqueness for BVPs, informally Existence and uniqueness (the Picard-Lindelof… Building a differential equation from a word… Complex differentiability Exact differential equations Explicit vs. implicit solutions From partial derivatives to the total derivative Hooke's law and the spring restoring force Linear vs. nonlinear differential equations Separable differential equations Separation of variables: a first look toward PDEs Slope fields The Jacobian and local linearization The geometric meaning of a partial derivative Two-point boundary conditions Why a closed-form solution isn't always available Writing a system in matrix form Partial derivatives What a differential equation is (order, solutions, general vs… A first look at partial rates Chain rule for derivatives

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