Explains functional qualities of PTC Mathcad's differential equation solving capabilities
Applicable to Mathcad users looking to setup and solve problems involving equality constraints beyond the initial boundary conditions
Uses an extended example (motion of a pendulum) to illustrate techniques for representing and solving problems in Mathcad
This worksheet using PTC Mathcad shows you how to solve an ordinary differential equation whose solution has additional equality constraints beyond initial or boundary conditions. These are known as Differential Algebraic Equations (DAE). The solver for Differential Algebraic Equations is limited to solving problems up to index 3.
This worksheet takes you through a simple example of the motion of a pendulum. Specifically it discusses:
A simple pendulum in rectangular coordinates
The index of a DAE
The index reduction and drift effect
This worksheet provides you with the example of the motion of a pendulum, along with all data, graphs, instruction and solutions.