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. The two approaches should produce results that match. The Symbolic Math Toolbox overloads many of MATLAB’s numeric functions. Solving Equations How to solve symbolic equations Integral Transforms Fourier, Laplace, and z-transforms Special Mathematical. The idea is to compare this approach with another approach for computing the analytical solution. differential equations Variable-Precision Arithmetic. The result is shown in the figure below.įinally, let us verify that this approach produces accurate results. First, we choose the plotting interval, and then similarly to the MATLAB function plot(), we can use the function to plot the solution.
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