Differential Equations with Maple V
Through the use of numerous examples that illustrate how to solve important applications using Maple V, Release 2, this book provides readers with a solid, hands-on introduction to ordinary and partial differental equations. Includes complete coverage of constructing and numerically computing and approximating solutions to ordinary and partial equations.
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FIRSTORDER ORDINARY DIFFERENTIAL EQUATIONS
APPLICATIONS OF FIRST ORDER ORDINARY
HIGHERORDER DIFFERENTIAL EQUATIONS
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alpha approx approximation array Bessel function boundary conditions Cauchy-Euler equation coefficients command compute corresponding eigenvectors cos(t cos(x d solve define DEplot determine direction field display dsolve eigenfunctions eigenvals eigenvalues eigenvectors eigenvects entering eval f/int expr first-order Fourier series Fourier sine series Gen_Sol given graph the solution heat equation Heavi side Hence homogeneous equation initial conditions initial-value problem integral interval inv lap lace k_vals kth partial sum laplace y(t Laplace's equation lina l g linear linearly independent matrix Mouie naming the resulting obtained option remember ordinary differential equations partial differential equations Pixx plots package polynomial power series previous example proc read lib represents separation of variables seq subs set of functions simplify sin(t sin(x sinh solve the initial-value step Substitution THEOREM to_plot tutorial vals velocity Wronskian yields yp(x zero