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differential-equations

What a differential equation is (order, solutions, general vs. particular)

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Taught in

Requires

Required by

Local knowledge map

Local knowledge map

Boundary-value problems vs. initial-value problems Chemical reaction rates as differential equations Choosing a first-order solving method Choosing a model for a scenario Direction fields for systems Euler's method Existence and uniqueness for BVPs, informally Exponential growth/decay as a differential equation First-order linear equations and integrating factors Homogeneous first-order equations Integrating factors for non-exact equations Isoclines Local vs. global error in a numerical method Mixing problems Order, linearity, and homogeneity of a PDE Second-order linear equations, standard form Setting up the mass-spring equation of motion The logistic differential equation Vector-valued solutions and the vector Wronskian Building a differential equation from a word… Exact differential equations Existence and uniqueness (the Picard-Lindelof… Explicit vs. implicit solutions Hooke's law and the spring restoring force Linear vs. nonlinear differential equations Separable differential equations Slope fields Why a closed-form solution isn't always available Writing a system in matrix form What a differential equation is (order, solutions, general vs… Derivatives of exponential and logarithmic functions Derivatives of the six trig functions Indefinite integral notation Matrix-vector multiplication two ways: the row picture… Partial derivatives Recognizing a chain-rule derivative in reverse Chain rule for derivatives Power rule for derivatives

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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.