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The Laplace transform of a function is defined by the improper integral where s is a complex number representing frequency The purpose of the Laplace transform is to take a real function of a variable (often time, sometimes is used for other properties) and transform it into a complex function of , often representing frequency. One of the most common applications of the Laplace transform is in solving differential equations, as it converts an equation of varying degrees of differentiation into a polynomial of varying degrees of power.

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  • Laplace transform
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  • The Laplace transform of a function is defined by the improper integral where s is a complex number representing frequency The purpose of the Laplace transform is to take a real function of a variable (often time, sometimes is used for other properties) and transform it into a complex function of , often representing frequency. One of the most common applications of the Laplace transform is in solving differential equations, as it converts an equation of varying degrees of differentiation into a polynomial of varying degrees of power.
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  • The Laplace transform of a function is defined by the improper integral where s is a complex number representing frequency The purpose of the Laplace transform is to take a real function of a variable (often time, sometimes is used for other properties) and transform it into a complex function of , often representing frequency. One of the most common applications of the Laplace transform is in solving differential equations, as it converts an equation of varying degrees of differentiation into a polynomial of varying degrees of power.
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