How To Take the Laplace Transform Of a Piecewise Function? Hence, the best way to handle such a problem is to divide this function into subparts because there is no correlation in the outputs of these two pieces at the point of discontinuity and onwards, and thus a piecewise function is born. This is why this type of function is expressed with a discontinuity. In a real mathematical scenario, it is very clear that a function cannot have two different values at the same time. What Is a Piecewise Function?Ī piecewise function is a function that represents a time-domain function with inequality at a certain point in time in the output of the function. These can also be found in a Laplace table. A Laplace transform is an integral transform that is used to convert a time-domain function into an s- domain signal.īut, once in the s-domain, it becomes very easy to navigate through as it can all be represented in terms of a polynomial and this Laplace transformation can be carried out using a set of principles that have been laid out by mathematicians. And this is done because a time-domain differential function is often very difficult to extract information from. What Is a Laplace Transform?Ī Laplace Transform is an integral transform that is used to convert a time-domain function into an s-domain signal. Now, let’s have a brief insight into some important concepts.
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