Differential Equations with Mathematica
The Third Edition of the Differential Equations with Mathematica integrates new applications from a variety of fields,especially biology, physics, and engineering. The new handbook is also completely compatible with recent versions of Mathematica and is a perfect introduction for Mathematica beginners.
* Focuses on the most often used features of Mathematica for the beginning Mathematica user
* New applications from a variety of fields, including engineering, biology, and physics
* All applications were completed using recent versions of Mathematica
What people are saying - Write a review
We haven't found any reviews in the usual places.
Chapter 3 Applications of FirstOrder Ordinary Differential Equations
Chapter 4 HigherOrder Differential Equations
Chapter 5 Applications of HigherOrder Differential Equations
Chapter 6 Systems of Ordinary Differential Equations
Chapter 7 Applications of Systems of Ordinary Differential Equations
Chapter 8 Laplace Transform Methods
Other editions - View all
apply the initial approximation AspectRatio Axes Automatic AxesOrigin boundary conditions Clearx coefficients command compute constant corresponding homogeneous equation Cos2 Cos2t Cos3 Cos4 cosx define direction field associated displayed DisplayFunction DisplayFunction DisplayFunction Identity DSolve DSolvext dy/dx eigenvalues eigenvectors EXAMPLE first-order Fourier series Fourier sine series gensol graph the solution GrayLevel 0.5 heat equation Hence initial conditions initial-value problem integrating interval InverseLaplaceTransform kvals Laplace transform LaplaceTransformyt linear linearly independent Logx Mathematica matrix naming the resulting nonhomogeneous equation nonlinear numsol obtained ordinary differential equations parametrically ParametricPlot partial differential equation particular solution Plot in Figure PlotPoints PlotRange PlotStyle GrayLevel population Runge–Kutta method separation of variables Simplify Sin2 Sin2t Sin3 Sin4 Sin4t Sint sinx solve the initial-value somegraphs step1 step2 Theorem tion toplot toshow variables various values velocity Wronskian zero
Page 1 - A differential equation is an equation involving derivatives or differentials of one or more dependent variables with respect to one or more independent variables.