微分方程求解
Improvements to solvers for ordinary differential equations (ODEs), partial differential equations (PDEs), and differential algebraic equations (DAEs) continue to strengthen Maple’s world-leading position in numeric and symbolic differential equation solving.

精确解
常微分方程 (ODEs) 和偏微分方程 (PDEs)

• 新的算法提供求解所有类型的1阶和2阶非线性常微分方程和3阶线性微分方程的精确解，这是目前世界上唯一的系统化算法。
• 新的变换技术转换方程为 Maple 能够求解的形式；这些转换使得 Maple 可能发现许多方程的解，以前这些是没有已知的解。
• New tools for working with  partial differential equations (PDEs), including commands for working with Euler’s operator, conserved currents, and generalized integrating factors, and for computing the general solution for some linear PDE families by using Laplace invariants

数值解
常微分方程 (ODEs) 和偏微分方程 (PDEs)

Numeric solutions to initial value problems with ordinary differential equations (ODE IVP) and differential algebraic equations (DAE IVP) have many new properties:

• The ability to handle user-defined events: when the event occurs, user-defined actions can be performed or a new event triggered
• Parametric problem definition: a procedure can be formed for a whole class of ODEs or DAEs, then parameters can be adjusted, and different solutions obtained interactively, without the need to set up the problem every time
• Definition of discrete variables as part of the problem description: when combined with events, discrete variables can be used to handle stopping criteria, reset conditions, zero-order holds, and most other events that occur in ODE and DAE system simulation