SymPy, another BSD-licensed Python library for symbolic mathematics.
It's based on Macsyma, a 'legendary computer algebra system' developed at MIT in the 1960s, can be compiled on Linux, Mac OS X, and Windows, and is available under GPLv2. You can generate MATLAB functions, Simulink ® function blocks, and Simscape™ equations directly from symbolic expressions. Maxima, another frequently updated alternative to MATLAB.
You can share your symbolic work with other MATLAB users as live scripts or convert them to HTML, Word, LaTex, or PDF documents. Your computations can be performed either analytically or using variable-precision arithmetic, with the results displayed in mathematical typeset. You can perform dimensional computations and convert between units. (Apart from not being in the correct form for an ODE, the Mathcad fragment doesn't. However, the first step is to express the actual system as a DE using the variables given. Other interesting paid alternatives to PTC Mathcad are Maple (Paid), Swift Calcs (Paid), MathStudio (Paid) and Derive (Paid). If that doesnt suit you, our users have ranked more than 25 alternatives to PTC Mathcad and nine of them is paid so hopefully you can find a suitable replacement. Symbolic Math Toolbox lets you analytically perform differentiation, integration, simplification, transforms, and equation solving. Given that it's intended to be solved in Mathcad or Matlab (the latter with no presumption of the symbolic toolbox), it would seem that's the appropriate general method. The best paid alternative to PTC Mathcad is Mathematica. The toolbox provides functions in common mathematical areas such as calculus, linear algebra, algebraic and differential equations, equation simplification, and equation manipulation. In the MATLAB ® Live Editor, you can get next-step suggestions for symbolic workflows. Python is a popular and simple, many ready-made packages, good interface ipython (deflated with Mathematica). The toolbox provides functions in common mathematical areas such as calculus, linear algebra. You can create, run, and share symbolic math code. For the modeling package Simulink, which friends highly praised. Symbolic Math Toolbox provides functions for solving, plotting, and manipulating symbolic math equations. Hence, we can use the following MATLAB code to create Figure 1. Matlab is good for numerical computing, symbolic rather weak. For the second, we employ the useful command eval(), which evaluates or executes text strings that constitute valid MATLAB commands.
You can create, run, and share symbolic math code. The Symbolic Math Toolbox software is a collection of more than 100 MATLAB functions that provide access to the MuPAD kernel using a syntax and style that is a natural extension of the MATLAB language. The rst of these obstacles is straightforward to x, using vectorize(). Symbolic Math Toolbox™ provides functions for solving, plotting, and manipulating symbolic math equations.