tailieunhanh - Ebook A first course in differential equations (3rd edition): Part 1

(BQ) Part 1 book "A first course in differential equations" has contents: First-Order differential equations, second-order linear equations, laplace transforms. | J. David Logan Department of Mathematics University of Nebraska Lincoln A First Course in Differential Equations Third Edition March 2, 2015 Springer-Verlag Berlin Heidelberg NewYork London Paris Tokyo Hong Kong Barcelona Budapest To David Russell Logan Contents Preface to the Third Edition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi 1. First-Order Differential Equations . . . . . . . . . . . . . . . . . . . . . . . . . . First-Order Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Notation and Terminology . . . . . . . . . . . . . . . . . . . . . . . . . . . Growth–Decay Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Geometric Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Antiderivatives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Separable Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Separation of Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Heat Transfer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Chemical Reactors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Integrating Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Electrical Circuits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . One-Dimensional Dynamical Systems . . . . . . . . . . . . . . . . . . . . . . . Autonomous Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bifurcation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Existence of Solutions . . . . .

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