What is a DIFFERENTIAL EQUATION?? **Intro to my full ODE course**
Free, Open-Source ODE Textbook I'm adapting for this playlist: http://web.uvic.ca/~tbazett/diffyqs
The ODE Course Playlist: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw
In this video I'm giving an introduction to ODEs or Ordinary Differential Equations. Our goal is to model a world where properties are changing, and we note from Calculus that rates of change were encoded by the derivative of a function. But where did those functions come from? Often, the answer is differential equations. We're going to see two major examples of differential equations in this video, exponential growth and free falling under gravity. In both we will talk about infinite families of solutions, and the role of initial conditions.
0:00 Intro
1:59 Exponential Growth
6:10 Body in Motion
10:23 Motivating Questions
OTHER COURSE PLAYLISTS:
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
►LAPLACE TRANSFORMS: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
OTHER PLAYLISTS:
► Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Cool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
SOCIALS:
►Twitter (math based): http://twitter.com/treforbazett
►Instagram (photography based): http://instagram.com/treforphotography
Видео What is a DIFFERENTIAL EQUATION?? **Intro to my full ODE course** канала Dr. Trefor Bazett
The ODE Course Playlist: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw
In this video I'm giving an introduction to ODEs or Ordinary Differential Equations. Our goal is to model a world where properties are changing, and we note from Calculus that rates of change were encoded by the derivative of a function. But where did those functions come from? Often, the answer is differential equations. We're going to see two major examples of differential equations in this video, exponential growth and free falling under gravity. In both we will talk about infinite families of solutions, and the role of initial conditions.
0:00 Intro
1:59 Exponential Growth
6:10 Body in Motion
10:23 Motivating Questions
OTHER COURSE PLAYLISTS:
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
►LAPLACE TRANSFORMS: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
OTHER PLAYLISTS:
► Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Cool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
SOCIALS:
►Twitter (math based): http://twitter.com/treforbazett
►Instagram (photography based): http://instagram.com/treforphotography
Видео What is a DIFFERENTIAL EQUATION?? **Intro to my full ODE course** канала Dr. Trefor Bazett
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
The Key Definitions of Differential Equations: ODE, order, solution, initial condition, IVPODE | Introduction of ODE & Construct the ODE | DBM30033/DBM3004301 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.The things you'll find in higher dimensionsSecond order homogeneous linear differential equations with constant coefficientsSturm Liouville Problem: introduction and meaningHow To Know Yourself | Jordan Peterson | Best Life AdviceChecking Solutions in Differential Equations (Differential Equations 3)Solving ODEs with Delta functions using Laplace TransformsCauchy-Euler Differential Equations (2nd Order)Why is Chess Similar to Maths?Q13, Clairaut Differential Equation general and singular solutions, diff eq marathonDifferential equation introduction | First order differential equations | Khan AcademyHomogeneous Systems of Linear Equations - Intro to Eigenvalue/Eigenvector Method01 - Intro to 2nd Order Differential Equations - Learn to Solve Linear ODEsOrdinary Differential Equations - IntroWorld famous Hagoromo chalkSolving Differential Equations with Power Series