ODE with Dirac Delta @drpeyam

Uploaded January 2025 | Updated September 2026, 1 week ago

ODE with Dirac Delta

Here is a really cool application of the Laplace transform: We use it to solve differential equations involving the dirac delta functional and the shifting/jump property. The solution will involve heaviside functions and is bound to be a lot of fun!! This is a must-see for any ode and calculus lovers, enjoy!

Laplace Transform Playlist: youtube.com/playlist?list=PLJb1qAQIrmmB3NiV7Fy0tWcSmAYLQ7SCS

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$Inhomogeneous case Laplace transform and differential equations We use the Laplace transform to solve differential equations. The good news is that the same technique used to solve homogeneous ODE also works for inhomogeneous differential equations: Take the Laplace transform, solve for it, and then apply the partial fractions technique to find the inverse Laplace transform. This is a must-see for any mathematician, physicist, or engineer, enjoy! What is the Laplace transform: https://youtu.be/NmluV31oHq8 Laplace transform example: https://youtu.be/BHGnFcGhR5w Laplace transform playlist:https://www.youtube.com/playlist?list=PLJb1qAQIrmmB3NiV7Fy0tWcSmAYLQ7SCS Subscribe to my channel: https://youtube.com/drpeyam Instagram: https://www.instagram.com/peyamstagram/ Teespring merch: https://dr-peyam.creator-spring.com/?$

Two complex solutions in x^2021=x^2020+1