{"product_id":"differential-equations-9780134850474","title":"Differential Equations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp style=\"margin:0px;\"\u003e\u003ci\u003eFor one-semester sophomore- or junior-level courses in Differential Equations.\u003c\/i\u003e\u003c\/p\u003e \u003cp style=\"margin:0px;\"\u003e\u003cbr\u003e\u003c\/p\u003e \u003cp style=\"margin:0px;\"\u003e\u003cb\u003eFosters the conceptual development and geometric visualization students neednow available with MyLab Math\u003c\/b\u003e\u003c\/p\u003e \u003cp style=\"margin:0px;\"\u003e\u003cb\u003e\u003ci\u003eDifferential Equations: Computing and Modeling\u003c\/i\u003e\u003c\/b\u003e blends traditional algebra problem-solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It balances traditional manual methods with the new, computer-based methods that illuminate qualitative phenomenaa comprehensive approach that makes accessible a wider range of more realistic applications.\u003c\/p\u003e \u003cp style=\"margin:0px;\"\u003e \u003c\/p\u003e \u003cp style=\"margin:0px;\"\u003eThe book starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout. For\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eTable of Contents   \u003c\/p\u003e\u003col\u003e\n\u003cli\u003e\n\u003cstrong\u003eFirst-Order Differential Equations\u003c\/strong\u003e  \u003cul\u003e\n\u003cli\u003e1.1 Differential Equations and Mathematical Models\u003c\/li\u003e\n\u003cli\u003e1.2 Integrals as General and Particular Solutions\u003c\/li\u003e\n\u003cli\u003e1.3 Slope Fields and Solution Curves\u003c\/li\u003e\n\u003cli\u003e1.4 Separable Equations and Applications\u003c\/li\u003e\n\u003cli\u003e1.5 Linear First-Order Equations\u003c\/li\u003e\n\u003cli\u003e1.6 Substitution Methods and Exact Equations\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eMathematical Models and Numerical Methods\u003c\/strong\u003e  \u003cul\u003e\n\u003cli\u003e2.1 Population Models\u003c\/li\u003e\n\u003cli\u003e2.2 Equilibrium Solutions and Stability\u003c\/li\u003e\n\u003cli\u003e2.3 Acceleration—Velocity Models\u003c\/li\u003e\n\u003cli\u003e2.4 Numerical Approximation: Euler’s Method\u003c\/li\u003e\n\u003cli\u003e2.5 A Closer Look at the Euler Method\u003c\/li\u003e\n\u003cli\u003e2.6 The Runge—Kutta Method\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eLinear Equations of Higher Order\u003c\/strong\u003e  \u003cul\u003e\n\u003cli\u003e3.1 Introduction: Second-Order Linear Equations\u003c\/li\u003e\n\u003cli\u003e3.2 General Solutions of Linear Equations\u003c\/li\u003e\n\u003cli\u003e3.3 Homogeneous Equations with Constant Coefficients\u003c\/li\u003e\n\u003cli\u003e3.4 Mechanical Vibrations\u003c\/li\u003e\n\u003cli\u003e3.5 Nonhomogeneous Equations and Undetermined Coefficients\u003c\/li\u003e\n\u003cli\u003e3.6 Forced Oscillations and Resonance\u003c\/li\u003e\n\u003cli\u003e3.7 Electrical Circuits\u003c\/li\u003e\n\u003cli\u003e3.8 Endpoint Problems and Eigenvalues\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eIntroduction to Systems of Differential Equations\u003c\/strong\u003e  \u003cul\u003e\n\u003cli\u003e4.1 First-Order Systems and Applications\u003c\/li\u003e\n\u003cli\u003e4.2 The Method of Elimination\u003c\/li\u003e\n\u003cli\u003e4.3 Numerical Methods for Systems\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eLinear Systems of Differential Equations\u003c\/strong\u003e  \u003cul\u003e\n\u003cli\u003e5.1 Matrices and Linear Systems\u003c\/li\u003e\n\u003cli\u003e5.2 The Eigenvalue Method for Homogeneous Systems\u003c\/li\u003e\n\u003cli\u003e5.3 A Gallery of Solution Curves of Linear Systems\u003c\/li\u003e\n\u003cli\u003e5.4 Second-Order Systems and Mechanical Applications\u003c\/li\u003e\n\u003cli\u003e5.5 Multiple Eigenvalue Solutions\u003c\/li\u003e\n\u003cli\u003e5.6 Matrix Exponentials and Linear Systems\u003c\/li\u003e\n\u003cli\u003e5.7 Nonhomogeneous Linear Systems\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eNonlinear Systems and Phenomena\u003c\/strong\u003e  \u003cul\u003e\n\u003cli\u003e6.1 Stability and the Phase Plane\u003c\/li\u003e\n\u003cli\u003e6.2 Linear and Almost Linear Systems\u003c\/li\u003e\n\u003cli\u003e6.3 Ecological Models: Predators and Competitors\u003c\/li\u003e\n\u003cli\u003e6.4 Nonlinear Mechanical Systems\u003c\/li\u003e\n\u003cli\u003e6.5 Chaos in Dynamical Systems\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eLaplace Transform Methods\u003c\/strong\u003e  \u003cul\u003e\n\u003cli\u003e7.1 Laplace Transforms and Inverse Transforms\u003c\/li\u003e\n\u003cli\u003e7.2 Transformation of Initial Value Problems\u003c\/li\u003e\n\u003cli\u003e7.3 Translation and Partial Fractions\u003c\/li\u003e\n\u003cli\u003e7.4 Derivatives, Integrals, and Products of Transforms\u003c\/li\u003e\n\u003cli\u003e7.5 Periodic and Piecewise Continuous Input Functions\u003c\/li\u003e\n\u003cli\u003e7.6 Impulses and Delta Functions\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ol\u003e","brand":"Pearson Education (US)","offers":[{"title":"Default Title","offer_id":49524403667287,"sku":"9780134850474","price":216.17,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780134850474.jpg?v=1731856644","url":"https:\/\/bookcurl.com\/products\/differential-equations-9780134850474","provider":"Book Curl","version":"1.0","type":"link"}