Fundamentals of differential equations: R. Kent Nagle, Edward B. Saff, Arthur David Snider
Pearson/Addison-Wesley, 2008 - Mathematics - 686 pages
Key Message:Fundamentals of Differential EquationsFundamentals of Differential Equationspresents the basic theory of differential equations and offers a variety of modern applications in science and engineering . Available in two versions, these flexible texts offer the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software Key Topics: Introduction, First-Order Differential Equations, Mathematical Models and Numerical Methods Involving First Order Equations, Linear Second-Order Equations, Introduction to Systems and Phase Plane Analysis, Theory of Higher-Order Linear Differential Equations, Laplace Transforms, Series Solutions of Differential Equations, Matrix Methods for Linear Systems Market: For all readers interested in Differential Equations.
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FirstOrder Differential Equations
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air resistance approximate the solution assume auxiliary equation capacitor Cauchy-Euler equation Chapter circuit compute constant coefficients damping dependent derivative determine df/dy differential equation direction field dM/dy dN/dx dy dx dy/dx equa equation of motion equilibrium Example exponential expressed Figure first-order equation formula fourth-order Runge-Kutta function given graph Hence Hint homogeneous equation implicit solution improved Euler's method independent variable inductor initial conditions initial value problem inside the building integrating factor interval isoclines kg/L L/min linear equation linearly independent logistic m/sec mass N-sec/m Newton's second law nonhomogeneous nonlinear numerical object obtain ordinary differential equation oscillator particular solution phase plane population procedure RC circuit roots salt satisfies Section separation of variables Show solu solution curve solution to equation solve step size h subroutine substitution superposition principle tank Taylor series temperature inside term Theorem tion trajectories undetermined coefficients unique solution voltage Wronskian y)dx zero