Watch the Intro to the Laplace Transform in my Differential Equations playlist here: This video deals particularly with how the Laplace Transform works with piecewise functions, a type of discontinuous functions. The easiest example of which is the step function or heaviside function and we use that example to deal with the more complicated cases. Indeed, one of the big advantages of the Laplace Transform is that it deals with discontinuous functions so well converting them into a continuous function over in "Laplaceland" (a magical place). We will use these formulas as well to deal with inverse laplace transforms. ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON: ►MATH BOOKS I LOVE (affiliate link): ►CURIOSITY BOX: use CODE drtrefor for 25% off awesome STEM merch boxes COURSE PLAYLISTS: ►DISCRETE MATH: ►LINEAR ALGEBRA: ►CALCULUS I: ►CALCULUS II: ►MULTIVARIABLE CALCULUS (Calc III): ►VECTOR CALCULUS (Calc IV): ►DIFFERENTIAL EQUATIONS: ►LAPLACE TRANSFORM: ►GAME THEORY: OTHER PLAYLISTS: ►Cool Math Series: ►Learning Math Series: ►LaTeX: SOCIALS: ►X/Twitter: ►TikTok: @drtrefor ►Instagram (photography based):