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. With syms, you can create multiple variables in one command. The second command creates a symbolic variable y with the value y. syms x y sym ('y') The first command creates a symbolic variable x in the MATLAB workspace with the value x assigned to the variable x. We perform the tests using the following differential equation Create the symbolic variables x and y using syms and sym, respectively. The approach that is used for comparison is based on the Laplace transform. The two approaches should produce results that match. 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. 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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