Mathematics · Avançado · Nível 2

Differential equations

First-order equations — reading a slope field, separation, integrating factors, exact equations, existence and uniqueness, and the models they answer; linear second-order equations from the characteristic roots through the Wronskian, undetermined coefficients, variation of parameters and boundary value problems; the Laplace transform, what it does to an initial value problem, and how a switched forcing is handled; autonomous equations on a phase line, systems in matrix form and the classification of a phase portrait; series solutions at ordinary and at regular singular points; and the numerical methods a modeller reaches for, with the error and stability facts that decide the step size.

Ages 18+ 26 lessons about 15.5 hours in all

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