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This flexible text allows instructors to adapt to various course emphases (theory, methodology, applications, and … to get access to your one-sheeter, Fundamentals of Differential Equations and Boundary Value Problems, Fundamentals of Differential Equations and Boundary Value Problems, 7th Edition, Numerical Methods: A Closer Look at Euler's Algorithm, Higher-Order Numerical Methods: Taylor and Runge-Kutta, Homogeneous Linear Equations: The General Solution, Nonhomogeneous Equations: the Method of Undetermined Coefficients, The Superposition Principle and Undetermined Coefficients Revisited, Qualitative Considerations for Variable-Coefficient and Nonlinear Equations, A Closer Look at Free Mechanical Vibrations, A Closer Look at Force Mechanical Vibrations, Differential Operators and the Elimination Method* for Systems, Solving Systems and Higher-Order Equations Numerically, Applications to Biomathematics: Epidemic and Tumor Growth Models, Dynamical Systems, Poincaré Maps, and Chaos, Basic Theory of Linear Differential Equations, Homogenous Linear Equations with Constant Coefficients, Undetermined Coefficients and the Annihilator Method, Transforms of Periodic and Power Functions, Solving Linear Systems with Laplace Transforms, Introduction: The Taylor Polynomial Approximation, Power Series Solutions to Linear Differential Equations, Finding a Second Linearly Independent Solution, Homogeneous Linear Systems with Constant Coefficients, Regular Sturm-Liouville Boundary Value Problems, Nonhomogeneous Boundary Value Problems and the Fredholm Alternative, Singular Sturm-Liouville Boundary Value Problems, Neurons and the FitzHugh-Nagumo Equations, Picard's Existence and Uniqueness Theorem, Existence of Solutions of Linear Equations. 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