Laplace transform of jumps @drpeyam

Uploaded April 2025 | Updated September 2026, 1 week ago

Laplace transform of jumps

In this video, we explore how to use Laplace transforms to handle jumps and discontinuities in piecewise functions. We cover key concepts like the unit step function (Heaviside function) and show how to represent discontinuous functions using step functions. Then, we dive into how to compute their Laplace transforms step-by-step.

Topics covered: Understanding jumps in functions, The unit step function (Heaviside), Shifting theorem, Laplace transform of piecewise functions, Worked examples & problem solving

This is perfect for anyone studying differential equations, signals & systems, or preparing for engineering/math exams.

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#LaplaceTransform #UnitStepFunction #DifferentialEquations #MathTutorial #EngineeringMath

Laplace transform playlist: youtube.com/playlist?list=PLJb1qAQIrmmB3NiV7Fy0tWcSmAYLQ7SCS

ODE with jumps: youtu.be/xWdtg5GkaPw

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$Laplace and ODE the fruit of our work: Laplace and ODE We use our knowledge of Laplace transforms to finally solve some ODE. You do this by applying the laplace transform and then using our Laplace miracle to get an algebra equation and then using partial fractions from calculus to find the inverse Laplace transform. Voila, no guessing involved, this gives you a really elegant way of solving differential equations, enjoy! Subscribe to my channel: https://youtube.com/drpeyam Instagram: https://www.instagram.com/peyamstagram/ Teespring merch: https://dr-peyam.creator-spring.com/?$

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