The numerical problems of the Laplace transform can be easily solved using properties and standard formulae. To learn the process, watch out this video.
BASICS OF LAPLACE TRANSFORM
https://youtu.be/gRQogrmvN60
Laplace Transform of standard Signals
https://youtu.be/yV8hbKGPd6s
Properties of Laplace Transform
https://youtu.be/zAlfSE0Kvg4
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