We use MATLAB to compute the inverse Laplace transform. Taking into account that and, and by transforming the expression ( 3), we obtainīy applying the inverse Laplace transform to ( 4), we can obtain as function of. By applying the Laplace transform to ( 2), we obtain Let us apply the Laplace transform to equation ( 2). Let us assume that initial conditions are and. We perform the tests using the following differential equation The approach that is used for comparison is based on the Laplace transform. For more information about Live Editor tasks, see Add Interactive Tasks to a Live Script. The task automatically generates MATLAB code for your live script. The two approaches should produce results that match. The Solve Symbolic Equation task enables you to interactively find analytic solutions of symbolic equations. The idea is to compare this approach with another approach for computing the analytical solution. The result is shown in the figure below.įinally, let us verify that this approach produces accurate results. Solve differential algebraic equations (DAEs) by first reducing their differential index to 1 or 0 using Symbolic Math Toolbox functions, and then using MATLAB ® solvers, such as ode15i, ode15s, or. Create these differential equations by using symbolic functions. First, we choose the plotting interval, and then similarly to the MATLAB function plot(), we can use the function to plot the solution. Solve differential equations by using dsolve.
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