Lecture 6: Laplace transform - MIT OpenCourseWare.
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To know Laplace transform of integral and derivatives (first and high orders derivatives. To obtain inverse Laplace transform of simple function using the Table of Laplace transform pairs. To use the method of partial fraction expansion to express strictly proper functions as the sum of simple factors (for the cases: simple poles, complex poles and repeated poles).
Laplace Transform and Systems of Ordinary Differential Equations.. both integrals (7) and (8) do exist. W e can then conclude t hat. Laplace Transform of derivatives.
Download English-US transcript (PDF) Today, and for the next two weeks, we are going to be studying what, for many engineers and a few scientists is the most popular method of solving any differential equation of the kind that they happen to be, and that is to use the popular machine called the Laplace transform. Now, you will get proficient in using it by the end of the two weeks.