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differential-equations

Separable differential equations

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Local knowledge map

Autonomous equations, phase lines, and stability Compartment models Logistic growth with constant harvesting Newton's law of cooling (differential equation form) Other useful substitutions for first-order equations Pharmacokinetics: a drug-elimination model RC circuits as a differential equation Two-tank mixing systems Chemical reaction rates as differential equations Choosing a first-order solving method Exponential growth/decay as a differential equation First-order linear equations and integrating factors Homogeneous first-order equations Mixing problems The logistic differential equation Separable differential equations Building a differential equation from a word… Exact differential equations Existence and uniqueness (the Picard-Lindelof… Explicit vs. implicit solutions Exponential growth decay Hooke's law and the spring restoring force Integration by parts Linear vs. nonlinear differential equations Logistic growth Product rule for derivatives Recognizing an integral that yields an inverse trig… Slope fields The Bernoulli equation Why a closed-form solution isn't always available Writing a system in matrix form u-substitution Indefinite integral notation What a differential equation is (order, solutions, general vs… Antiderivatives -- the reverse of differentiation Chain rule for derivatives

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