The problems are arranged in such chapters as equations in which the variables are separable, miscellaneous first order equations, singular points, and first order partial differential equations.

Time-step simulation and advanced topics like the simulation of chaotic dynamics and partial differential equations are also covered.

And so this ease of use is one of the notable features of the latest release, Maple 12-which also has improvements to solvers for differential equations, partial differential equations, and algebraic equations.

Extensions have been included in the areas of zeros of polynomials, partial differential equations, eigenvalue problems (LAPACK), sparse linear algebra, and a significant expansion of the G05 (Random Number Generation) function.

Among the enhancements am faster speed for numerical linear algebra, wide-ranging support for fast spruce matrix operations, optimized numerical solvers for ordinary and partial differential equations and major new algorithms for solving equations and inequalities symbolically over complex numbers, reals and integers.

These include enhancements to Maple's handling of numeric partial differential equations, vector calculus, calculus of variations, and ordinary differential equations.

Finite difference methods for partial differential equations

With its careful balance of mathematics and meaningful applications, Green's Functions and Boundary Value Problems, Third Edition is an excellent book for courses on applied analysis and boundary value problems in partial differential equations at the graduate level.