In the solution processes of very complex differential equations, Laplace transforms are frequently used. Also in various kinds of engineering problems, Laplace transforms are used frequently.
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Performing Laplace transforms can be very tough with had calculations. MatLab® provides a very useful command to calculate the Laplace transforms. This command is the ‘laplace()’ command.
Here, we explain how to use the ‘laplace()’ command to calculate the Laplace transformations of different differential equations. All the examples below are executed in the Matlab® command window. You can try these codes with your Matlab® software.
>> syms x y a = 1/sqrt(x) laplace(a) a = 1/x^(1/2) ans = pi^(1/2)/s^(1/2) >>
In the example above, you can see the very basic use of the ‘laplace()’ command. First of all, we created the symbolic variable ‘x’ with the syms command.
Then we typed the equation that we want to see the Laplace transform of it, inside the ‘Laplace()’ command. In the command window, you can see the answer.
As you see above, the use of the ‘laplace()’ command in Matlab® is very simple. If you know the general rules of Laplace transform operations, you will not face a serious problem, when you are solving differential equations problems.
Do not forget to leave your comments and questions below about the use of the ‘laplace()’ command in Matlab® below.
If you want further coding examples about the ‘laplace()’ command in Matlab®, inform us in the comments.
This article is prepared for completely educative and informative purposes. Images used courtesy of Matlab®
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