Summary

Keywords

second-order partial differential equations laplace's equation separation of variables laplacian operator divergence gradient separation constant sturm-liouville problem hyperbolic functions dirichlet helmholtz equation poisson's equation

Full Transcript

After looking at first-order partial differential equations, it's time to move on to second order PDEs. One method for solving these is to use Laplace's equation. This will allow us to separate the variables. Let's see how it works! Script by Lorcan Nicholls Watch the whole Differential Equations playlist: http://bit.ly/ProfDaveDiffeq Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio EMAIL► [email protected] PATREON► http://patreon.com/ProfessorDaveExplains Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience! Amazon: https://amzn.to/2HtNpVH Bookshop: https://bit.ly/39cKADM Barnes and Noble: https://bit.ly/3pUjmrn