Mathematica can solve any PDE for which a solution is known. However, there are going to be very few, if any, known solutions for nonlinear 2nd order PDE's. You will probably need to do it numerically.abbeyNewton said:hello, i just want to ask if mathematica 7 can solve nonlinear second order partial differential equations. i tried solving it with DSolve but it kept on giving me the question back as the output...please is there any way or syntax for solving it on mathematica 7?...thanks for any suggestions.
A PDE is a mathematical equation that involves multiple variables and their partial derivatives, and is used to describe relationships between these variables in a given system.
Mathematica has built-in functions and tools specifically designed for solving and analyzing PDEs. It uses numerical and symbolic methods to find solutions, visualize results, and perform other operations on PDEs.
While Mathematica has a wide range of capabilities for solving PDEs, it may not be able to handle certain types of PDEs, such as nonlinear or highly complex equations, without additional user input or specialized packages.
Mathematica allows for efficient and accurate solutions to PDEs, and also provides tools for visualizing and analyzing the results. It also has the ability to handle large and complex systems of PDEs.
As with any software, Mathematica has its limitations. It may not be able to find symbolic solutions for all PDEs, and its performance may be affected by the complexity and size of the system being solved. It is important to carefully consider the problem at hand and choose the appropriate methods and settings in Mathematica for optimal results.