The functions described so far involve finding the solution to an nth order differential equation when you know the value of the solution and its first n – 1 derivatives at the beginning of the interval of integration. This section discusses what happens if you don’t have all this information about the solution at the beginning of the…
The procedure for solving a coupled system of differential equations follows closely that for solving a higher order differential equation. In fact, you can think of solving a higher order differential equation as just a special case of solving a system of differential equations. Systems of first order differential equations To solve a system of first order differential…
This chapter describes how to solve both ordinary and partial differential equations having real-valued solutions. Mathcad Standard comes with the rkfixed function, a general-purpose Runge-Kutta solver that can be used on nth order differential equations with initial conditions or on systems of differential equations. Mathcad Professional includes a variety of additional, more specialized functions for solving differential equations. Some of these…
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