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Convolution in the Laplace Transform #maths #engineering
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Convolution is a topic many students find challenging. In this video, I demonstrate the graphical method for solving convolution integrals. Step 1: Graph the two functions/signals Step 2: Change the independent variable from 𝑡 to 𝜏 Step 3: Choose one of the two functions to flip (reflect about the vertical axis) Step 4: Give this reflected signal a horizontal translation/shift of 𝑡 units. Step 5: Investigate the regions of overlap between this transformed signal and the other signal. Set up a
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ODES Lecture 5: The laplace transform. The laplace transform lets us find solutions to ODEs that have piecewise continuous (not continuous over all of R but continuous over open sub intervals.) it is a good tool to use but sometimes more elementary methods can go faster #math #laplacetransform #odes #differentialequations #calculus
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