MATH 2410Q Lecture 1: Introduction and Initial Value Problems

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Cf f 1g f gtfglflgcxd fygcxd. glcx f g fg g a slope. Derivative of function fax flex liff flxth h. Notation f x daff f prime leibniz dot. Extra tx e o seecx sink cos x coscx. Ex ax sincx axena logak tinta it tanked tank intro. Differential egns to an equation containing derivatives ndent variables functions with unknown in de of one or more respect to one or more good to know variable. Ex ordindotoffi independent variables p x t dependent variables l fix yet. Goat given diff eq find relationship btwn o the dependent variables hopefully finding solin independent. Order linearity lowcq. rs zernd vs higher order linear eqns vs nonlinear eqns. Existence of a soir solving econ uniqueness of sol n. Ex2 y ly o find solin on an interval. E te e e ite ov y s e.