Solve Differential Equations Using Laplace Transforms 📈
Learn how to use Laplace Transforms to solve initial value problems with full examples and step-by-step guidance.
Dr. Trefor Bazett
352.0K views • Mar 21, 2020
About this video
How can we use the Laplace Transform to solve an Initial Value Problem (IVP) consisting of an ODE together with initial conditions? in this video we do a full walkthrough beginning with the differential equation, converting it to an algebraic equation via the Laplace Transform, solving that algebraic equation, and finally converting back to a solution to the IVP through the Inverse Laplace Transform.
This is part of my series on the Laplace Transforms in my Differential Equations Playlist: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
♡♡♡SUPPORT THE CHANNEL♡♡♡
â–ºSupport on PATREON: https://patreon.com/DrTrefor
â–ºMATH BOOKS I LOVE (affiliate link): https://www.amazon.com/shop/treforbazett
â–ºCURIOSITY BOX: https://www.CuriosityBox.com/DrTrefor use CODE drtrefor for 25% off awesome STEM merch boxes
COURSE PLAYLISTS:
â–ºDISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
â–ºLINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
â–ºCALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
â–ºCALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
â–ºMULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
â–ºVECTOR CALCULUS (Calc IV): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
â–ºDIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw
â–ºLAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
â–ºGAME THEORY: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX
OTHER PLAYLISTS:
â–ºCool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
â–ºLearning Math Series:
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
â–ºLaTeX: https://www.youtube.com/watch?v=-HvRvBjBAvg&list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73&index=2&ab_channel=Dr.TreforBazett
SOCIALS:
â–ºX/Twitter: http://X.com/treforbazett
â–ºTikTok: http://tiktok.com/@drtrefor
â–ºInstagram (photography based): http://instagram.com/treforphotography
This is part of my series on the Laplace Transforms in my Differential Equations Playlist: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
♡♡♡SUPPORT THE CHANNEL♡♡♡
â–ºSupport on PATREON: https://patreon.com/DrTrefor
â–ºMATH BOOKS I LOVE (affiliate link): https://www.amazon.com/shop/treforbazett
â–ºCURIOSITY BOX: https://www.CuriosityBox.com/DrTrefor use CODE drtrefor for 25% off awesome STEM merch boxes
COURSE PLAYLISTS:
â–ºDISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
â–ºLINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
â–ºCALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
â–ºCALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
â–ºMULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
â–ºVECTOR CALCULUS (Calc IV): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
â–ºDIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw
â–ºLAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
â–ºGAME THEORY: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX
OTHER PLAYLISTS:
â–ºCool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
â–ºLearning Math Series:
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
â–ºLaTeX: https://www.youtube.com/watch?v=-HvRvBjBAvg&list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73&index=2&ab_channel=Dr.TreforBazett
SOCIALS:
â–ºX/Twitter: http://X.com/treforbazett
â–ºTikTok: http://tiktok.com/@drtrefor
â–ºInstagram (photography based): http://instagram.com/treforphotography
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Video Information
Views
352.0K
Likes
8.0K
Duration
9:31
Published
Mar 21, 2020
User Reviews
4.8
(70)