Analytical Solution

Derive closed-form analytical solutions to math and engineering problems

MATLAB and Symbolic Math Toolbox help you calculate analytical solutions to your math and engineering problems. Whether you are developing algorithms or modeling engineering systems, analytical solutions often offer important advantages:

• Transparency – Because analytical solutions are presented as math expressions, they offer a clear view into how variables and interactions between variables affect the result.
• Efficiency – Algorithms and models expressed analytically are often more efficient than equivalent numeric implementations.

Examples and How To

• Dynamic Analysis of a DC Motor (Example)
• Modeling the Motion of Automotive Piston (Example)
• Modeling a Mass Spring Damper System (Example)
• Modeling the Average Power Generated by a Wind Turbine (Example)
• Developing an Algorithm for Undistorting an Image (Example)
• Modeling the Velocity of a Paratrooper (Example)
• Analytical Modeling of Aircraft Wing Loads with MATLAB and Symbolic Math Toolbox (Article)

Software Reference

• MATLAB functions in Symbolic Math Toolbox (Functions)
• MuPAD functions in Symbolic Math Toolbox (Functions)

See also: MuPAD, mathematical modeling