Finding exact symbolic solutions of PDEs is a difficult problem, but DSolve can solve most first-order PDEsĪnd a limited number of the second-order PDEs found in standard reference books. Partial Differential Equations (PDEs), in which there are two or more independent variables and one dependent.ODEs and a limited number of the second-order ODEs found in standard reference books.

Finding exact symbolic solutions (expressed through elementary and special functions) of ODEs is a difficult problem, but DSolve can solve many first-order Ordinary Differential Equations (ODEs), in which there are two or more independent variables and one dependent DSolve can handle the following types of equations: The Wolfram Language function NDSolve, on the other hand, is a general numerical differentialĮquation solver (it is discussed in more details in Part III). The Wolfram Language function DSolve finds symbolic solutions (that can be expressed implicitly or even explicitly) to certain classes of differential equations.

Return to the main page for the course APMA0340 Return to the main page for the course APMA0330 Return to Mathematica tutorial for the second course APMA0340 Return to Mathematica tutorial for the first course APMA0330 Return to computing page for the second course APMA0340 Return to computing page for the first course APMA0330 Laplace transform of discontinuous functions.Picard iterations for the second order ODEs.Series solutions for the second order equations.

Part IV: Second and Higher Order Differential Equations.

Numerical solution using DSolve and NDSolve.

Part III: Numerical Methods and Applications.

Equations reducible to the separable equations.

Mathematica degree